can you prove this equation for me? sin2x X sec2x = 2sinx
36,380 results
Calculus
Let f be the function defined by f(x)=2sinx+cosx ? The average rate of change of f over the interval [0,b] is 0.05, where b>0 . Which of the following is an equation that could be used to find the value of b? A) f(b)=0.05 B) f(b)−f(0)=0.05 C:

advanced function
pls. help: prove the identity sin2x+sin2y=2sin(x+y)cos(xy)

Adv function
Express sec2x in terms of tanx and secx I know you have to sec(2x) = 1/cos(2x) = 1/(cos²x  sin²x) But how do you split that. Like how to simplify that?

Trigonometry
Prove: 1tanx/1+tanx=1sin2x/cos2x

Precalculus
prove the identity sin2xsin2y/sin2x+sin2y=tan(xy)/tan(x+y)

trigonometry
Prove: tan2x+sec2x = cosx+sinx/ cosxsinx

math;)
The equation 2sinx+sqrt(3)cotx=sinx is partially solved below. 2sinx+sqrt(3)cotx=sinx sinx(2sinx+sqrt(3)cotx)=sinx(sinx) 2sin^2x+sqrt(3)cosx=sin^2x sin^2x+sqrt(3)cosx=0 Which of the following steps could be included in the completed solution? a.

a math
Prove cotx1/cotx+1 = sec2x  tan2x I prove till cotx1/cotx+1 =1/1+tanx  tanx/1+tanx

Math  derivatives of cos and sin fucntions
a) Find an equation of a line that is tangent to y=2sinx and whose slope is a maximum value. b) Is there more than one solution? Explain.

Calculus
Determine the concavity and find the points of inflection. y=2cosx + sin2x 0≤x≤2pi y'=2sinx + 2cos2x y"=2cosx4sinx How do I find the IP(s)?

trigonometry
if sin2x=3sin2y, prove that: 2tan(xy)=tan(x+y) ( here, in sin2x, 2x is an angle., like there's a formula:sin2x=2sinxcosx and sin2y=2sinycosy; ....)

maths plse help me..
if tangent to the curve y=2sinx +sin2x are drawn at p(x=60degree) then find the area of the quadrilateral formed by the tangent the normal at P and the coordinate axis

trig
sinx = 4/5 and x terminates in Quadrant II Find sin2x and cos2x How to get the answers, which are sin2x = 24/25, cos2x = 7/25?

Calculus
Find the equation of the tangent line to the curve y=2sinx at the point ((pi/6), 1). The equation of the tangent line can be written in y=mx+b form, where m=sqrt3. What is b?

trigonometry
prove: sinx/sec2x+cosx/csc2x=sin3x

Maths
Prove that sin2x+cos2x1/sin2x+cos2x+1=tanx

trig
tanx = 5/12 and sinx

Trigonometry
Let's solve this fun trigonometric fun math problem! 1.) SEC²X1/SIN²X

Math
Prove 1+sec2x / tan2x = cotx

Calc
This problem is really weird. I have to explain why MVT applies for f(x)=2sinxsin2x on the closed interval 7pi,8pi and then determine all values of c in the interval (7pi,8pi) that satisfies the conclusion of the theorem. However, the condition of MVT is

trigonometry
Been trying this forever so it says: Simplify 1+sin2x+cos2x/1+sin2xcos2x ive tried this problem so many times I need help with it...

calculus
For what values of a and b is the following equation true? Below is the equation ( (sin2x)/ x^3 + a + b/(x^2)) lim x>0 a= b=

Math
can you prove this equation for me? sin2x X sec2x = 2sinx

maths
If Sin2x=3sin2y then prove: 2tan(xy)= tan(x+y)

maths
by equating the coefficients of sin x and cos x , or otherwise, find constants A and B satisfying the identity. A(2sinx + cosx) + B(2cosx  sinx) = sinx + 8cosx I got A = 2, B = 3, which the answers said were correct. However, another part of the question

calc
Where do I start to prove this identity: sinx/cosx= 1cos2x/sin2x please help!! Hint: Fractions are evil. Get rid of them. Well, cos2x = cos2x  sin2x, so 1coscx = 1  cos2x  sin2x = 1  cos2x + sin2x You should be able to simplify this to 2*something

PreCalc Help!!!!!!!!
1+sin2x/sin2x=1+1/2(secx)(cscx)

Mathematics
Hi there, Can someone help me with the question: "Prove that the value of 7sinx +3cos2x cannot be greater than 5/1/24 for all values of x between 0 degrees and 360 degrees" Thanks lots. =) I've already simplified 7sinx + 3cos2x into (2sinx3)(3sinx+1).

calculus
For what values of a and b is the following equation true? ( (sin2x)/ x^3 + a + b/(x^2)) lim x>0 a= b=

trip
for sin2x+cosx=0, use doubleangle or halfangle formula to simplify the equation and then find all solutions of the equation in the interval (0,2Pie)

Math please help quick
Which of the following are identities? Check all that apply. (Points : 2) sin2x = 1  cos2x sin2x  cos2x = 1 tan2x = 1 + sec2x cot2x = csc2x  1 Question 4. 4. Which of the following equations are identities? Check all that apply. (Points : 2) Question 5.

math
how do i prove the graph of a linear equation is a line? i know the slope between every point should be the same but idk how to prove it with letters. the equation is y=3/2x9/2 but it should work with any equation i guess.

trig
Verify the trigonometric identity: [(1–sin²x)/sin²x]–[(csc²x–1)/cos²x]= tan²x I still can't figure this out.

calculus
How do you prove that the total area of a fourpetaled rose r=sin2x is equal to onehalf the area of the circumscribed circle?

Calculus
Evaluate using integration by parts, substitution, or both if necessary. the intergral of cos 2x ln(sin 2x) dx My work: w= sin2x dw= 2cos2xdx 1/2 dw= cos2xdx 1/2 integrsl sign ln(w)dw u= lnw u'= 1/w v= w v'=1 1/2 [(lnw)(w) integral sign (1/w)(w) dw] 1/2

trigonometry
Prove cotx1/cotx+1=1sin2x/cos2x

calc
sin2x = (radical 3)/ 2 solve each equation on the interval [0,2pi)

Trigonometry
Verify the identity. sin2x/cosx + sinx = 2sinx Solve for all values of x: 6cos2x7cosx3=0 If f(x)=cos1/2xsin2x find the value of f(pi)

calculus please help me
Let f(x)=9sinx/2sinx+4cosx. Then 'f(x)= ((2sinx+4cosx)(9cosx)(9sinx)(2cosx4sinx))/(2sinx+4cosx)^2. The equation of the tangent line to y=f(x) at a=2 can be written in the form y=mx+b where m= 9and b= ______.?????

Math
Prove the identity csc^2x = 2sec2x / sec2x  1 Sorry i really tried. I got : LS = 1  (cos^2x/sin^2x) but that's it. please help

maths
hey, i would really appreciate some help solving for x when: sin2x=cosx Use the identity sin 2A = 2sinAcosA so: sin 2x = cos x 2sinxcosx  cosx = 0 cosx(2sinx  1)=0 cosx = 0 or 2sinx=1, yielding sinx=1/2 from cosx=0 and by looking at the cosine graph, we

Calculus
Find the derivative of y with respect to x: y=(1+cos²x)^6 y'=6(1+cos²x)^5 How do you derive inside the brackets? The answer says sin2x, but wouldn't it be 2sinx, using the chain rule.

maths
prove that 1+sin2xcos2x / sin2x+cos2x = tanx

MATHEMATICS
what is the exact value of 12sin(15degrees)? also 2(sin2x)=2sinx solve it for 0

MATHS
pROVE THAT (cotx  tan x)cosx=cosec1x2sinx

trig
if sin2x=3sin2y, prove that: 2tan(xy)=tan(x+y)

calculus
d/dx(e^sinx2x)= a)cos2xe^sinx2x b)cosxe^sin2x c)2e^sin2x d)2cos2xe^sin2x e)2cos2xe^sin2x

College Math : Linear Algebra
Suppose A is a square matrix satisfying the equation A^3  2I = 0. Prove that A and (A  I) respectively are invertible. (the hint is to find an explicit equation for A^1. To prove A is invertible, this is what I did although I don't that it's right: A^3

Math
Given that f(x) = 2sinx  cosx  Write f(x) in the form Asin(x+a)  Find the maximum value of 2sinx  cosx  Find the lowest positive value of p such that f(x) = f(x + p) Thankyou. All help is appreciated. I'm really struggling on this assignment.

Calculus
Let f(x)=9sinx/2sinx+4cosx Then f'(x)=________ . The equation of the tangent line to y=f(x) at a= pi/2 can be written in the form y=mx+b where m= _____and b=_____

PreCalculus
Find all solutions to the given trigonometric equation in the interval 0, 2𝜋 : sin2x=cos2xsinx

Math
prove identity Sin2x  sinx/cosx + cos2x= sinx/cosx + 1

math
Please prove: 2sinx+sin2x = 2sin^3(x)/1cosx

math
prove: 2sinx+sin2x = 2sin^3(x)/1cosx

Trigonometry
Verify the identities algebraically. 1.) TAN^5 X= TAN³X SEC²XTAN³X 2.) COS³X SIN²X= (SIN²XSIN^4X)COS X

Precalculus
Determine the solutions to the equation 2sinx − cos2x = sin2x for 0 ≤ x ≤ 2π . How do I start this question?

MathematicsIntegration
Question: Prove that [integrate {x*sin2x*sin[π/2*cos x]} dx] /(2xπ) } from (0π) = [ integrate {sin x*cos x*sin[π/2*cos x} dx ] from (0π). My thoughts on the question: We know that integrate f(x) dx from (0a) = integrate f(ax) dx from (0a) From

Advanced Functions/Precalculus
Trigonometry Questions 1. Solve the equation sin2x+1=2sinx for 0≤x≤2π 2. Solve the equation 7sin2x4sin2x/cosx=1 where 0≤x≤2π 3. Determine the exact value of cos2(theta) when tan(theta)=3/4 and π

trig identites
since sin2x+√3cos2x=2sin(2x+60) find the general solution for the equation sin2x+√3cosx=0 thank you

calculus
im having so much trouble figuring out how to get these answers. i already know the answers i just need to figure out how to get them... directions: find the points of inflection and discuss the concavity of the graph of the function... 1.

maths
Prove Cos (x+60)= 2Sinx

Trigonometry
Verify the identities. 1.) √1COSθ/1+COSθ= 1+SINθ/SINθ 2.) SEC X SIN(π/2X)= 1 3.) CSC X(CSC XSIN X)+SIN XCOS X/SIN X + COT X= CSC²X 4.) CSC^4 X2 CSC²X+1= COT^4 X 5.) CSC^4 θCOT^4 θ= 2 CSC²θ1 6.) TAN^5 X= TAN³X SEC²XTAN³X 7.) COS³X

maths
prove that(cotxtanx)cosx=cosec1x2sinx

precal
find all solutions in interval [0,2pi] tan²x = 3/2 secx This question may look tricky, but its actually quite simple. First: rearrange the pythagorean identity tan²x+1=sin²x so that it reads tan²x=sin²x1 Then replace the tan²x in the original

PreCalc/Math
Prove Identity: (1cos2x/ tan x) = sin2x

math
Prove the identity (sinx+cosx)^2 = 1+sin2x Thank you

Math
How do you prove this identity? cos2x*tan(π\4x)= 1sin2x

Precalc
Prove: sin2x*sinx/2cosx + cos^2 0 = 1

Math
Required to Prove the following trig identity: (cos2x)^2 + (sin2x)^2 = 1

gr 12. advanced functions
Trig identity Prove: cos2x tan(pie/4  x)  = 1 + sin2x

trig
on the same set of axes: (0 degrees is greater than or equal to x and x is less than or equal to 360 degrees) (a) sketch the graphs of y= sin degrees ,y=2sinx degrees and y=sin2x degrees

advanced functions
Prove that 2sinxsiny = cos(xy)  cos(x+y) Prove that sin2x + sin2y = 2sin(x+y)cos(xy)

math
I have to find an exact solutions on the interval [0,pi) for both of these problems 1) 2sin2x = sqrtx and 2) 12sqrt2 sinxcosx = 0 I know this much: 1) sin2x = (sqrt x)/2 = 2sinxcosx = (sqrt x)/2 What do I need to do next? 2) 1/(2 sqrt2) = sinxcosx =

Math
prove sin2x+cos2x+1 tan(pi/4+x) ______________ = __________ sin2x+cos2x1 tanx so what I did tan(x) (1+cos(2x)+sin(2x)=tan(pi/4+x) (1+cos(2x)+sin(2x)

math
um take home test...i have no idea what im doing always sometimes never 1. sin2x=2sinx 2. cos (pie/3+x)=sinx 3. if tan x=3 and tan y=2 then tan (x+y)=5 4. when you use the half angle formulas you choose whether to use a + or  by noting in which quadrant

Trigonometry
Solve for x in the interval 0

Trig (Last URGENT)
sin2x+cosx=0 , [180,180) = 2sinxcosx+cosx=0 = cosx(2sinx+1)=0 cosx=0 x1=cos^1(0) x1=90 x2=36090 x2=270 270 doesn't fit in [180,180) what do I do? Or maybe I did something wrong. sinx=1/2 x1=sin^1(1/2) x1=30 x2=18030 x2=150 is this correct? Please and

trig
Verify the trigonometric identity: [(1–sin²x)/sin²x]–[(csc²x–1)/cos²x]= tan²x I can't figure this out.

Trig help
Can someone help me find ALL solutions in the interval [0,2π) for the given equations. Please show work. 1) sin2x = sin2x 2) tan2x +tanx = 0

math
sin2x − cos2x − tan2x = 2sin2x − 2sin4x − 1/ 1 − sin2x for x = 45

Calculus grade 12
Determine the derivative of the function (² = square): a) y = (x² + x  1)Sin²x b) y = (x² + 1)/Sin²x

MATH
Solve the equation for ex, where 0

Calc
First make an appropriate substitution and then use integration by parts to evaluate the indefinite integrals: ∫ sinx cos³x e^(1sin²x) dx I was going to substitute u= 1  sin²x, but then i got du = ½ sinxcosx  ½ xdx, so im stuck. Thank you so

calc
f'(x)=(24)/((2sinx+6cosx)^2) find equation of line y=mx+b

Math
Find the solutions of the equation. 2sinx+cosx=0

trig
(sec6x+sin2x)/(sin6xsin2x)=tan4xcot2x

trig
Solve the triginometric equation analytically. Use values of x for 0 less then or equal to x less then 2pi The equation for this question is sin2x + cos2x = 0

Precalculus
Find all the solutions of the equation 2sin2xcos2sinx=0 over the interval pi/2

math
My math teacher wants us to prove that all of our answers are correct. But how am I supposed to be able to prove stuff, like this, for example. The directions want you to write out the words in to an equation. Seven is the sum of X and 5. so my answer is

calculus
Find an equation of a line that is tangent to y=2sinx and whose slope is a maximum

math,help
this other one how can i actually prove it if this is the equation to use. the problem states: Prove that if a line has slope ma nd yintercept b, then an equation of th eline is y=mx+b. then it says (Hint: use the pointslope equation theorem) I've looked

Maths Derivatives & Calulus
1) Find d^2y / dx^2 given that y^3  x^2 = 4 2)If y = xª + ( 1 / xª ) , prove that x^2 . y'' + xy' – a^2 . y = 0 3) Find dy/dx for the following function. cos ( x  y ) = ( y ) ( 2x + 1 ) ^3 4)Find the values of A and B that make f(x) differentiable at

Calculus
Solve identity, (1sin2x)/cos2x = cos2x/(1+sin2x) I tried starting from the right side, RS: =(cos²xsin²x)/(1+2sinxcosx) =(cos²x(1cos²x))/(1+2sinxcosx) and the right side just goes in circle. May I get a hint to start off?

calculus
f(x)= 1/4 * (sin2x)^2 find dy/dx d/dx (1/4 * (sin2x)^2)= (sin2xcos2x)/ 2 ?

Trig
Prove the following functions: (sinx+sin2x)/(1+cosx+cos2x)=tan x (cos3x/sinx)+(sin3x/cosx)=2cot2x tan2x=(2/cotxtanx) theses are due in the am. Fastness would be great?

CACULUS
THE VALUES OF X THAT ARE SOLUTIONS TO THE EQUATION [COSX]^2 = SIN2X IN THE INTERVAL 0 TO PI??

Maths
Evaluate ∫▒√tan x sec2x dx

trig
Solve the given triginometric equation analytically. Use values of of x for 0 less than or equal to x less than 2pi sin^2x  2sinx = 1 How do I get towards the answer of 3.569, 5.856 Thank you again

PreCalculus
Find all solutions to the given trigonometric equation in the interval 0, 2𝜋 : sin2x=cos2xsinx

Physic
From equation x= A sin wt, prove that the acceleration of SHM is a= w^2x w is omega actually.. 2.using relationship between velocity, v and displacement, x prove that v=w(A^2x^2)^1/2