If cosθ + cos^2 θ = 1, then sin^12 θ + 3 sin^10 θ + 3 sin^8 θ+ sin^6 θ + 2 sin^4 θ + 2 sin^2 θ – 2 =?
7,559 results

tigonometry
expres the following as sums and differences of sines or cosines cos8t * sin2t sin(a+b) = sin(a)cos(b) + cos(a)sin(b) replacing by by b and using that cos(b)= cos(b) sin(b)= sin(b) gives: sin(ab) = sin(a)cos(b)  cos(a)sin(b) Add the two equations: sin(a+b) + sin(ab) = ... 
TRIG!
Posted by hayden on Monday, February 23, 2009 at 4:05pm. sin^6 x + cos^6 x=1  (3/4)sin^2 2x work on one side only! Responses Trig please help!  Reiny, Monday, February 23, 2009 at 4:27pm LS looks like the sum of cubes sin^6 x + cos^6 x = (sin^2x)^3 + (cos^2x)^3 = (sin^2x+cos... 
algebra
Can someone please help me do this problem? That would be great! Simplify the expression: sin theta + cos theta * cot theta I'll use A for theta. Cot A = sin A / cos A Therefore: sin A + (cos A * sin A / cos A) = sin A + sin A = 2 sin A I hope this will help. in my algebra ... 
Mathematics  Trigonometric Identities
Let y represent theta Prove: 1 + 1/tan^2y = 1/sin^2y My Answer: LS: = 1 + 1/tan^2y = (sin^2y + cos^2y) + 1 /(sin^2y/cos^2y) = (sin^2y + cos^2y) + 1 x (cos^2y/sin^2y) = (sin^2y + cos^2y) + (sin^2y + cos^2y) (cos^2y/sin^2y) = (sin^2y + cos^2y) + (sin^2y + cos^2y)(sin^2y) / (sin^... 
math;)
Show that sin(x+pi)=sinx. So far, I used the sum formula for sin which is sin(a+b)=sin a cos b+cos a sin b. sin(x+pi)=sin x cos pi+cos x sin pi I think I am supposed to do this next, but I am not sure. sin(x+pi)=sin x cos x+sin pi cos pi If that is right then I am not sure ... 
Trigonometry
Solve the equation for solutions in the interval 0<=theta<2pi Problem 1. 3cot^24csc=1 My attempt: 3(cos^2/sin^2)4/sin=1 3(cos^2/sin^2)  4sin/sin^2 = 1 3cos^2 4sin =sin^2 3cos^2(1cos^2) =4sin 4cos^2 1 =4sin Cos^2  sin=1/4 (1sin^2)  sin =1/4 Sin^2  sin =3/4 ... 
trig
Reduce the following to the sine or cosine of one angle: (i) sin145*cos75  cos145*sin75 (ii) cos35*cos15  sin35*sin15 Use the formulae: sin(a+b)= sin(a) cos(b) + cos(a)sin(b) and cos(a+b)= cos(a)cos(b)  sin(a)sin)(b) (1)The quantity = sin(14575) = sin 70 = cos 20 note that... 
math
Eliminate the parameter (What does that mean?) and write a rectangular equation for (could it be [t^2 + 3][2t]?) x= t^2 + 3 y = 2t Without a calculator (how can I do that?), determine the exact value of each expression. cos(Sin^1 1/2) Sin^1 (sin 7pi/6) x= t^2 + 3 y = 2t ... 
Trig
Find sin(s+t) and (st) if cos(s)= 1/5 and sin(t) = 3/5 and s and t are in quadrant 1. =Sin(s)cos(t) + Cos(s)Sin(t) =Sin(1/5)Cos(3/5) + Cos(1/5)Sin(3/5) = 0.389418 Sin(st) =sin(s)cos(t)  cos(s)sin(t) =sin(3/5)cos(1/5)  cos(1/5)sin(3/5) =Sin3/5 cos3/5 = 0.46602 HELP ... 
Calculus
Consider the function f(x)=sin(1/x) Find a sequence of xvalues that approach 0 such that sin (1/x)=0 sin (1/x)=1 sin (1/x)=1 Is sin sin (1/x)=0 and sin (1/x)=1 does not exist. What is sin (1/x)=1 then. 
trig
The expression 4 sin x cos x is equivalent to which of the following? (Note: sin (x+y) = sin x cos y + cos x sin y) F. 2 sin 2x G. 2 cos 2x H. 2 sin 4x J. 8 sin 2x K. 8 cos 2x Can someone please explain how to do this problem to me? 
Calculus 12th grade (double check my work please)
1.)Find dy/dx when y= Ln (sinh 2x) my answer >> 2coth 2x. 2.)Find dy/dx when sinh 3y=cos 2x A.2 sin 2x B.2 sin 2x / sinh 3y C.2/3tan (2x/3y) D.2sin2x / 3 cosh 3yz...>> my answer. 2).Find the derivative of y=cos(x^2) with respect to x. A.sin (2x) B.2x sin (x^2... 
Calculus
Consider the function f(x)=sin(1/x) Find a sequence of xvalues that approach 0 such that (1) sin (1/x)=0 {Hint: Use the fact that sin(pi) = sin(2pi)=sin(3pi)=...=sin(npi)=0} (2) sin (1/x)=1 {Hint: Use the fact that sin(npi)/2)=1 if n= 1,5,9...} (3) sin (1/x)=1 (4) Explain ... 
Calculus
Consider the function f(x)=sin(1/x) Find a sequence of xvalues that approach 0 such that (1) sin (1/x)=0 {Hint: Use the fact that sin(pi) = sin(2pi)=sin(3pi)=...=sin(npi)=0} (2) sin (1/x)=1 {Hint: Use the fact that sin(npi)/2)=1 if n= 1,5,9...} (3) sin (1/x)=1 (4) Explain ... 
Trig
Given: cos u = 3/5; 0 < u < pi/2 cos v = 5/13; 3pi/2 < v < 2pi Find: sin (v + u) cos (v  u) tan (v + u) First compute or list the cosine and sine of both u and v. Then use the combination rules sin (v + u) = sin u cos v + cos v sin u. cos (v  u) = cos u cos v + ... 
math
find all solutions in the interval [0,2 pi) sin(x+(3.14/3) + sin(x 3.14/3) =1 sin^4 x cos^2 x Since sin (a+b) = sina cosb + cosb sina and sin (ab) = sina cosb  cosb sina, the first problem can be written 2 sin x cos (pi/3)= sin x The solution to sin x = 1 is x = pi/2 For ... 
math
Prove that for all real values of a, b, t (theta): (a * cos t + b * sin t)^2 <= a^2 + b^2 I will be happy to critique your work. Start on the left, square it, (a * cos t + b * sin t)^2 = a^2 (1  sin^2t) + 2ab sin t cost+ b^2 (1  cos^2 t)= a^2 + b^2  (a sin t  b cos t)^2... 
calculus
Find complete length of curve r=a sin^3(theta/3). I have gone thus (theta written as t) r^2= a^2 sin^6 t/3 and (dr/dt)^2=a^2 sin^4(t/3)cos^2(t/3) s=Int Sqrt[a^2 sin^6 t/3+a^2 sin^4(t/3)cos^2(t/3)]dt =a Int Sqrt[sin^4(t/3){(sin^2(t/3)+cos^2(t/3)}]dt=a Int Sqrt[sin^4(t/3)dt =a ... 
math
Can you please check my work. A particle is moving with the given data. Find the position of the particle. a(t) = cos(t) + sin(t) s(0) = 2 v(0) = 6 a(t) = cos(t) + sin(t) v(t) = sin(t)  cos(t) + C s(t) = cos(t)  sin(t) + Cx + D 6 = v(0) = sin(0) cos(0) + C C=7 2= s(0) = ... 
Math
Show that for real x that {[cos x + 2 sin x + 1]/[cos x + sin x] } cannot have a value between 1 and 2. Let y = [(cos x+2 sin x + 1)/(cos x + sin x) ] y(cos x + sin x) = (cos x + 2 sin x + 1) sin x(y2) + cos x(y1)=1 , I just feel that this isn't the way to do this.. Any ... 
Trigonometry
I need help with I just can't seem to get anywhere. this is as far as I have got: Solve for b arcsin(b)+ 2arctan(b)=pi arcsin(b)=pi2arctan(b) b=sin(pi2arctan(b)) Sub in Sin difference identity let 2U=(2arctan(b)) sin(ab)=sinacosbcosasinb =(sin(pi))(cos(2U))(cos(pi))(sin(... 
Calculus
Hello, Could somebody kindly check my answer for the following question? Find the derivative of the following function: h(x)=3e^(sin(x+2)) h'(x)=3'(e^(sin(x+2))+3(e^(sin(x+2))' h'(x)=0(e^(sin(x+2))+3(e^(sin(x+2))(cos(1)) h'(x)=3cos1(e^(sin(x+2)) I would greatly appreciate your... 
Limit Calculas
Evaluate lim>4 sin(2y)/tan(5y) Here is what I have so far. I am not sure the next steps. Can someone help me? 1. sin(2y)/(sin(5y)*cos(5y)) 2. (sin(2y)*cos(5y))/sin(5y) 
calculus
Evaluate lim>4 sin(2y)/tan(5y) Here is what I have so far. I am not sure the next steps. Can someone help me? 1. sin(2y)/(sin(5y)*cos(5y)) 2. (sin(2y)*cos(5y))/sin(5y) 
pre calc trig check my work please
sin x + cos x  = ? sin x sin x cos x  +  = sin x sin x cos x/sin x = cot x this is what i got, the problem is we have a match the expression to the equation work sheet and this is not one of the answers. need to figure out what im doing wrong so i can ... 
Integral
That's the same as the integral of sin^2 x dx. Use integration by parts. Let sin x = u and sin x dx = dv v = cos x du = cos x dx The integral is u v  integral of v du = sinx cosx + integral of cos^2 dx which can be rewritten integral of sin^2 x = sinx cos x + integral of (... 
math
Given that sin x + sin y = a and cos x + cos y =a, where a not equal to 0, express sin x + cos x in terms of a. attemp: sin x = a  sin y cos x = a  cos y sin x + cos x = 2A  (sin y + cos y) 
Precal
I do not understand how to do this problem ((sin^3 A + cos^3 A)/(sin A + cos A) ) = 1  sin A cos A note that all the trig terms are closed right after there A's example sin A cos A = sin (A) cos (A) I wrote it out like this 0 =  sin^6 A  cos^6 A + 2sin^3 A cos^3 A  2sin^3 ... 
trig
it says to verify the following identity, working only on one side: cotx+tanx=cscx*secx Work the left side. cot x + tan x = cos x/sin x + sin x/cos x = (cos^2 x +sin^2x)/(sin x cos x) = 1/(sin x cos x) = 1/sin x * 1/cos x You're almost there. thanks so much! i could not figure... 
Trig
If angle A is 45 degrees and angle B is 60 degrees. Find sin(A)cos(B), find cos(A)sin(B), find sin(A)sin(B), and find cos(A)cos(B) The choises for the first are: A. 1/2[sin(105)+sin(345)] B. 1/2[sin(105)sin(345)] C. 1/2[sin(345)+cos(105)] D. 1/2[sin(345)cos(105)] You don't ... 
maths
Prove: sin^212+sin^221+sin^239+sin^248=1+sin^29+sin^218 
trigonometry (please double check this)
Solve the following trig equations. give all the positive values of the angle between 0 degrees and 360 degrees that will satisfy each. give any approximate value to the nearest minute only. 1. sin2ƒÆ = (sqrt 3)/2 2. sin^2ƒÆ = cos^2ƒÆ + 1/2 3. sin 2x  cosx = 0 4. cos 4x... 
d/dx
d/dx( ln sin(pi/x) ) = ? Thanks. If those are absolute value signs, the derivative will not exist when sin (pi/x) = 0, because of the sign change that occurs there. Assume sin (pi/x) > 0 Let u(x) = pi/x and v(x) = sin x, and use the chain rule. d/dx ln v(u(x))= d/dv dv/du... 
math
Proving Trigonometric Identities 1. sec^2x + csc^2x= (sec^2 x)(csc^2 x) 2. sin ^3 x / sin x  cos 3x / cos x = 2 3. 1 cos x/ sin x= sin x/ 1+ cos x 4. 2 sin x cos ^2 (x/2) 1/x sin (2x) = sinx 5. cos 2 x + sin x/ 1 sin x= 1+ 2 sin x 
calculus
Find the points on the curve y= (cos x)/(2 + sin x) at which the tangent is horizontal. I am not sure, but would I find the derivative first: y'= [(2 + sin x)(sin x)  (cos x)(cos x)]/(2 + sin x)^2 But then I don't know what to do or if that is even correct??? Would I ... 
Calculus
Evaluate the integral. S= integral sign I= absolute value S ((cos x)/(2 + sin x))dx Not sure if I'm doing this right: u= 2 + sin x du= 0 + cos x dx = S du/u = ln IuI + C = ln I 2 + sin x I + C = ln (2 + sin x) + C Another problem: S ((sin (ln x))/(x)) dx I don't even know what... 
Pre calc
sin(θ − ϕ); tan(θ) = 5/12 θ in Quadrant III, sin(ϕ) = − sqaure root10/10 ϕ in Quadrant IV. I used the sin equation sin(a)cos(b)sin(a)cos(b) However I am still getting the wrong answer 
Calculus
Use a Riemann sum with n = 3 terms and the right endpoint rule to approx. ∫(1, 2) sin(1/x)dx. My teacher just needs the terms written out, no need to add or multiply. This is a problem she did up on the board, so here's her answer: sin(4/3)(1/3) + sin(5/3)(1/3) + sin(2)(... 
Trigonometry
Prove the identity sin(x+y+z)+sin(x+yz)+sin(xy+z)+ sin(xyz) = 4 sin(x)cos(y)cos(z) This identity is so long and after i tried to expand the left side and it just looked something crap Thanks for you help :) 
trigonometry HELP pleasE!
these must be written as a single trig expression, in the form sin ax or cos bx. a)2 sin 4x cos4x b)2 cos^2 3x1 c)12 sin^2 4x I need to learn this!! if you can show me the steps and solve it so I can learn I'd be grateful!!! 1) apply the formula for sin 2z 2)3) cos^2z + sin^... 
Calculus
Consider the function f(x)=sin(1/x) Find a sequence of xvalues that approach 0 such that sin (1/x)=0 sin (1/x)=1 sin (1/x)=1 Is sin sin (1/x)=0 and sin (1/x)=1 does not exist. What is sin (1/x)=1 then. How would I show the sequence of values, any help would be greatly ... 
MathsSs triG
Consider sin(x360)sin(90x)tan(x)/cos(90+x) 1.A.SIMPLIFY sin(x360)sin(90x)tan(x)/cos(90+x) to a single trigonometric ratio B.hence or otherwise without using a calculator,solve for X if 0<X<360. sin(x360)sin(90x)tan(x)/cos(90+x) =0,5 2.A.prove that 8/sin^2A  4/1... 
Public High School Pre Calculus HH
Ok I do not know how to do this problem. I know that csc is simply sin^1 sin ( pi/12) csc ( (37 pi)/12 ok now I know this also sin ( pi /12 ) =  sin ( pi/12) not really sure how that helps I don't know were to go from here (  sin (pi/12) )/(sin ( (25 pi)/12 ) ) 
Trigonometry
Does anyone have a good website that shows the proofs for these equations? sin(u+v) = sin(u)cos(v) + sin(v)cos(u) cos(u+v) = cos(u)cos(v) + sin(v)sin(u) Thanks! 
Trigonometry
Please review and tell me if i did something wrong. Find the following functions correct to five decimal places: a. sin 22degrees 43' b. cos 44degrees 56' c. sin 49degrees 17' d. tan 11degrees 37' e. sin 79degrees 23'30' f. cot 19degrees 0' 25'' g. tan 64degrees 6' 45'' h. cos... 
Trig
sin^4tcos^4t/sin^2t cos^2t= sec^2tcsc^2t i have =(sin^2t+cos^2t)(sin^2t+cos^2t)/sin^2tcos^2t then do i go =(sin^2t+cos^2t)/sin^2tcos^2t stumped 
calculus/Trig
Suppose you wish to express sin(3t) in terms of sint and cost. Apply the sum formula to sin(3t) = sin(t+2t) to obtain an expression that contains sin(2t)=sin(t+t) and cos(2t)=cos(t+t). Apply the sum formulas to those two expressions. Enter the resulting expression for sin(3t) ... 
Math Help
Hi! Can someone help check this for me and see if I'm doing it right? Thanks!! :) Directions: Use the HalfAngle formulas to determine the exact value of sin(pi/12). Here's what I have: π/12 = ( 180° ) / 12 = 15°. = sin ( π/12 ) = sin 15° = sin ( 45°  30°) = ... 
verifying trigonometric identities
How do I do these problems? Verify the identity. a= alpha, b=beta, t= theta 1. (1 + sin a) (1  sin a)= cos^2a 2. cos^2b  sin^2b = 2cos^2b  1 3. sin^2a  sin^4a = cos^2a  cos^4a 4. (csc^2 t / cot t) = csc t sec t 5. (cot^2 t / csc t) = csc t = sin t 
Trig.
tan^2BeatacscBetatan^2 (simplify) (sin/cos)^2Beta times 1/sin(sin/cos)^2 (sin^2/cos^2)(sin^2/cos^2)=sin/cos Is this correct? 
Geometry One multiple choice question!
Write the ratios for sin A and cos A. {picture is of a right triangle, ABC. segment AC is 8, segment AB is 17, and segment CB is 15.} sin A=15/17, cos A=8/17 sin A=15/8, cos A=8/17 sin A=15/17, cos A=8/15 sin A=8/17, cos A=15/17 
Geometry Please Help With One Multiple Choice
Write the ratios for sin A and cos A. {picture is of a right triangle, ABC. segment AC is 8, segment AB is 17, and segment CB is 15.} sin A=15/17, cos A=8/17 sin A=15/8, cos A=8/17 sin A=15/17, cos A=8/15 sin A=8/17, cos A=15/17 
math
how would you prove that sin^2(a)cos^2(b)= sin^2(b)cos^2(a). i'm not completely sure that this is right but i used the difference of two squares on it to get (sin(a)+cos(b))(sin(a)cos(b)) then after that i am stuck. please help 
Math, PreCalc
the original problem was: Solve: sin(3x)sin(x)=cos(2x) so far i've gooten to: sin(x)(2sin(x)cos(x)1)=cos^2(x)sin^2(x) Where would I go from here? 
Math(Please help)
2) Use the sum and difference identites sin[x + pi/4] + sin[xpi/4] = 1 sinx cospi/4 + cosxsin pi/4 + sinx cos pi/4  cosx sin pi/4 = 1 2 sin x cos pi/4 =1 cos pi/4 = sqr2/2 2sin^x(sqrt2/2) = 1 sin x = sqrt2 x = 7pi/4 and 5pi/4 Am I correct? 
Precalc
Let x, y, and z be real numbers such that cos(x) + cos(y) + cos(z) = sin(x) + sin(y) + sin(z) = 0. Prove that cos(2x) + cos(2y) + cos(2z) = sin(2x) + sin(2y) + sin(2z) = 0. 
Math Help Please
What are the ratios for sin A and cos A? The diagram is not drawn to scale. Triangle Description AB = 29 AC = 20 BC  21 A. sin A = 20/29, cos A = 21/29 B. sin A = 21/29, cos A = 20/21 C. sin A = 21/29, cos A = 20/29****? D. sin A = 21/20, cos A = 20/21 Please help and explain! 
maths
Choose the option that gives an expression for the indefinite integral ʃ (cos(4x) + 2x^2)(sin(4x) − x) dx. In each option, c is an arbitrary constant. Options A cos(4x) + 2x^2 +c B 1/8cos(4x) + 2x^2)^2 +c C 1/4 (sin(4x) − x)^2 + c D (1/(2 (sin(4x) − x... 
maths
Choose the two options which are true for all values of x 1) cos (x) = cos ( x – pie/2) 2) sin (x + pie/2) = cos (x – pie/2) 3) cos (x) = sin (x – pie/2) 4) sin (x) = sin (x + 4pie) 5) sin (x) = cos (x – pie/2) 6) sin^2 (x) + cos^2 (x) = pie would it be 1 and 3 ?? I ... 
antiderivatives
i need the antiderivative of sinxcosx dx for intergral pie/2 to 0 thanks. sin(x)cos(x)dx = sin(x)d[sin(x)] = 1/2d[sin^2(x)] 
precal
Simplify the given expression........? (2sin2x)(cos6x) sin 2x and cos 6x can be expressed as a series of terms that involve sin x or cos x only, but the end result is not a simplification. sin 2x = 2 sinx cosx cos 6x = 32 cos^6 x 48 cos^4 x + 18 cos^2 x  1 I assume you are ... 
Math
the original problem was: Solve: sin(3x)sin(x)=cos(2x) so far i've gotten to: sin(x)(2sin(x)cos(x)1)=cos^2(x)sin^2(x) Where would I go from here? 
Math
the original problem was: (sin x + cos x)^2 + (sin x  cos x)^2 = 2 steps too please I got 1 for (sin x + cos x)^2 but then what does (sin x  cos x)^2 become since it's minus? 
Trig!
The identities cos(ab)=cos(a)cos(b)sin(a)sin(b) and sin(ab)=sin(a)cos(b)cos(a)sin(b) are occasionally useful. Justify them. One method is to use rotation matricies. Another method is to use the established identities for cos(a+b) and sin (a+b). 
math
Determine all the possible values of x where 0 deg is more than or equal to x and x is more or equal to 360 deg such that i'm not sure the solution, please correct it, sin x sec x  3 sin x = 0 the solution: sin x 1/cos x  3 sin x = 0 sin x  3 sin x = cos x then i don't know... 
Math
Helle, i need help for simplify the expression: [( cos x) ( sin x)  ( sin x) (  sin x)] / ( sin x) ² 
Adv function
sin(7x)= sin(x)[cos^2(3x)sin^2(3x)]+2cos(x)cos(3x)sin(3x) I tried for an hour but still don't know how. Plzz help 
Math
State the restrictions on the variables for these trigonometric identities. a)(1 + 2 sin x cos x)/ (sin x + cos x) = sin x + cos x b) sin x /(1+ cos x) = csc x  cot x 
Math (Linear Systems)
28 N + T2 sin 12 = T1 sin 42 T2 cos 12 = T1 cos 42 T2 sin 12 + T3 sin 54 = W2 T2 cos 12 = T3 cos 54 Im solving for T1,2,3 and W2 I just cant seem to get the system to work 
Calculus I
Find the derivative of f(x) = sin^2 (e^sin^2 x) I wonder if I'm right F'(x) = 2cos(e^sin^2 x) (sin^2 x e^sin^2 x 1) 
precalc
prove the identity: cos^4  sin^4 = cos^2  sin^2 (cos^2 + sin^2)(cos^2  sin^2) cos^2 + sin^2 = 1 cos^2  sin^2 = cos^2  sin^2 is this correct? 
Math(Please help)
1)tan Q = 3/4 Find cosQ 3^2 + 4^2 = x^2 9+16 = sqrt 25 = 5 cos = ad/hy = 4/5 Am I correct? 2) Use the sum and difference identites sin[x + pi/4] + sin[xpi/4] = 1 sinx cospi/4 + cosxsin pi/4 + sinx cos pi/4  cosx sin pi/4 = 1 2 sin x cos pi/4 =1 cos pi/4 = sqr2/2 2sin^x... 
Math
I need help solving for all solutions for this problem: cos 2x+ sin x= 0 I substituted cos 2x for cos^2xsin^2x So it became cos^2(x)sin^2(x) +sinx=0 Then i did 1sin^2(x)sin^2(x)+sinx=0 = 12sin^2(x)+sinx=0 = sinx(2sinx+1)=1 What did i do wrong?? the real solutions are ... 
MATH
1.)Find the exact solution algebriacally, if possible: (PLEASE SHOW ALL STEPS) sin 2x  sin x = 0 2.) GIVEN: sin u = 3/5, 0 < u < ï/2 Find the exact values of: sin 2u, cos 2u and tan 2u using the doubleangle formulas. 3.)Use the halfangle formulas to determine the ... 
COLLEGE CALCULUS. HELP!
i don't know how to start this problem. i don't like cos and sin. im so confuse. 1.f(x)=sin(sin(x)), find f'(x) 2.f(x)= 4sin^4x, find f'(x). this problem i couldn't find it in my math book. i never see it before. because of sin exponent 4 >sin^4 
Trig
Solve in terms of sine and cosine: sec(x) csc(x) sec(x) sin(x) so far I have: 1/cos(x) 1/sin(x)  1/cos(x) sin(x) I am not sure where to go to from there. The book says the answer is cot(x) or cos(x)/sin(x) Thank you in advance. 
Integration by Parts
integral from 0 to 2pi of isin(t)e^(it)dt. I know my answer should be pi. **I pull i out because it is a constant. My work: let u=e^(it) du=ie^(it)dt dv=sin(t) v=cos(t) i integral sin(t)e^(it)dt= e^(it)cos(t)+i*integral cost(t)e^(it)dt do integration by parts again, then I ... 
Math
Solve this equation algebraically: (1sin x)/cos x = cos x/(1+sin x)  I know the answer is an identity, and when graphed, it looks like cot x. I just don't know how to get there. I tried multiplying each side by its conjugate, but I still feel stuck. This is what I have so ... 
precalculus
For each of the following determine whether or not it is an identity and prove your result. a. cos(x)sec(x)sin^2(x)=cos^2(x) b. tan(x+(pi/4))= (tan(x)+1)/(1tan(x)) c. (cos(x+y))/(cos(xy))= (1tan(x)tan(y))/(1+tan(x)tan(y)) d. (tan(x)+sin(x))/(1+cos(x))=tan(x) e. (sin(xy... 
math
I'm trying to find the convolution f*g where f(t)=g(t)=sin(t). I set up the integral and proceed to do integration by parts twice, but it keeps working out to 0=0 or sin(t)=sin(t). How am I supposed to approach it? integral (sin(u)sin(tu)) du from 0 to t. 
Trig
Sin(Xy)sin(x+y)=sin^2 x  sin^2 y work on one side only...so i worked on the right =(sinxsiny)(sinx+siny) does that equal sin(xy)sin(x+y)??? help! 
trig!!
Sin(Xy)sin(x+y)=sin^2 x  sin^2 y work on one side only...so i worked on the right =(sinxsiny)(sinx+siny) does that equal sin(xy)sin(x+y)??? help! 
Math
Evaluate *Note  We have to find the exact value of these. That I know to do. For example sin5π/12 will be broken into sin (π/6) + (π/4) So... sin 5π/12 sin (π/6) + (π/4) sin π/6 cos π/4 + cos π/6 sin π/4 I get all those steps... 
math
Create sketches by hand of the following sine functions, showing at least one full period and state the domain and range. Submit them to your teacher using the drop box above. It may be easiest for you to scan your hand drawn sketches and submit the scan file. Part A: ... 
Precalc
1. Prove sin  cos +1/ sin + cos  1 = sin +1/cos 2. 1+ sin/ 1 sin = (sec + tan)^2 Thanks!! 
Derivatives
what is derivative of sin^2 (3x1)^2 ? dy/dx (sin^2 (x))= 2 sin x cos x dy/dx (3x1)^2= 6(3x1) chain rule? = 2 sin ((3x1)^2) cos ((3x1)^2) * 6(3x1) Please help. Thank you 
calculus
Could someone check my reasoning? thanx Find the derivative of the function. sin(sin[sinx]) I need to use the chain rule to solve. So I take the derivative sin(sin[sinx) first. Then multiply that by the inside which is the derivative of sin[sinx]. And multiply that by ... 
MathematicsIntegration
Question: For any positive integer n,show that integrate.[(sin x)^2n dx ] from o  π/2 = [(2n)!*π]/[(2)^(2n+1)*(n!)^2 ] What I thought: Let I =int.[(sinx)^2n dx] And again I= int.[ (sin(π/2x))^2n dx] = int.[ (cos)^2n dx] 2I= int.[(sin x)^2n + (cos x)^2n dx] 2I= int.[ (sin ... 
Trigonometry
Hello all, In our math class, we are practicing the trigonometric identities (i.e., sin^2(x)+cos^2(x)=1 or cot(x)=cos(x)/sin(x). Now, we are working on proofs that two sides of an equation are equal (for example, sin(x)*csc(x)=1; sin(x)csc(x)=sin(x)/sin(x)=1; 1=1). I am not ... 
trigonometry
find without tables or calculator. (1) sin^2 (22 1/2) cos^2 (22 1/2) (2) sin 60 cos 30 + sin 30 cos 60 (3) cos(90y) = sin 56degree 47^i 
Maths
Cos^4(θ)/cos^2(α) + sin^4(θ)/ sin^2(α)=1 Prove that cos^4 alpha/cos^ thetha + sin^4alpha/ sin^2thetha= 1 
Math  Calculus
The identity below is significant because it relates 3 different kinds of products: a cross product and a dot product of 2 vectors on the left side, and the product of 2 real numbers on the right side. Prove the identity below.  a × b ² + (a • b)² = a²b² My work, ... 
PreCalc
How do I solve this? My work has led me to a dead end. tan(45x) + cot(45x) =4 my work: (tan45  tanx)/(1+ tan45tanx) + (cot45  cotx)/(1 + cot45cotx) = 4 (1tanx)/(1+tanx) + (1cotx)/(1+cotx) = 4 Then I found a common denominator, giving me this: (22cotxtanx)/(1+cotx+tanx+... 
Trig
4. Asked to simplify the expression sin(180−è), Rory volunteered the following solution: sin(180−è) = sin 180−sin è, and, because sin 180 is zero, it follows that sin(180−è) is the same as −sin è. Is this answer correct? If not, what is a ... 
Math
Which of the following expressions is equivalent to (cos(3x))/sin(x)cos(x))? csc(x) cos(2x)  sec(x) sin(2x) sec(x) cos(2x)  csc(x) sin(2x) sec(x) cos(x)  csc(x) sin(x) csc(x) cos(x)  sec(x) sin(x) This is my last question and I've tried solving it repeatedly but now I ... 
PreCalculus
I don't understand,please be clear! Prove that each equation is an identity. I tried to do the problems, but I am stuck. 1. cos^4 tsin^4 t=12sin^2 t 2. 1/cos s= csc^2 s  csc s cot s 3. (cos x/ sec x 1) (cos x/ tan^2x)=cot^2 x 4. sin^3 z cos^2 z= sin^3 z  sin^5 z 
Math
Asked to simplify the expression sin(180Ã¢Ë†â€™ÃƒÂ¨), Rory volunteered the following solution: sin(180Ã¢Ë†â€™ÃƒÂ¨) = sin 180Ã¢Ë†â€™sin ÃƒÂ¨, and, because sin 180 is zero, it follows that sin(180Ã¢Ë†â€™ÃƒÂ¨) is the same as... 
Calculus
Integrate 1/sinx dx using the identity sinx=2(sin(x/2)cos(x/2)). I rewrote the integral to 1/2 ∫ 1/(sin(x/2)cos(x/2))dx, but I don't know how to continue. Thanks for the help. Calculus  Steve, Tuesday, January 12, 2016 at 12:45am 1/2 ∫ 1/(sin(x/2)cos(x/2))dx let u... 
calculus
using the squeeze theorem, find the limit as x>0 of x*e^[8sin(1/x)] what i did was: 1<=sin(1/x)<=1 8<=8*sin(1/x)<=8 e^(8)<=e^[8*sin(1/x)]<=e^(8) x*e^(8)<=x*e^[8*sin(1/x)]<=x*e^(8) lim x>0 [x*e^(8)] = 0 lim x>0 [x*e^(8)] = 0 hence, lim x... 
calculus
Evaluate the integral of (x)cos(3x)dx A. (1/6)(x^2)(sin)(3x)+C B. (1/3)(x)(sin)(3x)(1/3)(sin)(3x)+C C. (1/3)(x)(sin)(3x)+(1/9)(cos)(3x)+C D. (1/2)(x^2)+(1/18)(sin)^2(3x)+C