If Ѳ is in Quadrant II, and cos Ѳ=3/4 , find an exact value for sin 2Ѳ
98,473 results
Math
1. Let (7, 4) be a point on the terminal side of (theta). Find the exact values of sin(theta), csc(theta), and cot(theta). 2. Let (theta) be an angle in quadrant IV such that sin(theta)=2/5. Find the exact values of sec(theta) and tan(theta). 3. Let

PreCal
Find sin 2x, cos 2x, and tan 2x from the given information. [1]. sin x = 8/17, x in Quadrant I 1). sin 2x =________. 2). cos 2x =________. 3). tan 2x =________. [2]. sin x = 5/13, x in Quadrant III 1). sin 2x =________. 2). cos 2x =________. 3). tan 2x

trig
Given sin a = 15/17 with a in Quadrant I and cos beta = 4/5 with beta in QuandrantIV, find the exact value of cos(a+beta)

Math
Find the exact value of cos(u + v) ) given that sin u= 9/41 cos nu= 15/17 . (Both u and v are in Quadrant II.)

pre calc
Find the exact value of sin(xy) if sinx=3/5 in Quadrant III and cosy=5/13 in Quadrant I.

PreCalc
I am really struggling with how to do these problems, I posted them a few minutes ago but the answers/work shown was incorrect. 1) a) Use an Addition or Subtraction Formula to write the expression as a trigonometric function of one number. cos 12° cos

math
Find the values of sin θ, cos θ, and tan θ for the given right triangle (in the link below). Give the exact values. www.webassign.net/aufexc2/85003.gif sin θ= cos θ= tan θ= my answer is c^2 = a^2 +b^2 c^2 = 5^2+12^2 c^2 = 169 c= √(169) c= 13 I

Alg2/Trig
Find the exact value of the trigonometric function given that sin u = 5/13 and cos v = 3/5. (Both u and v are in Quadrant II.) Find csc(uv). First of all, I drew the triangles of u and v. Also, I know the formula of sin(uv) is sin u * cos v  cos u *

Trig
Find the exact value of the trigonometric function given that sin u=3/5 and cos v=8/17. Both u and v are in quadrant II. Tan (u+v)

Pre Calculus
Find the exact value ofcos (u+v) given that sin u= 7/25 and cos v=−12/13. (Both u and v are in Quadrant II.)

Trig
1. Given Sin(A) = ⅗ and Cos(B) = 8/17 in Quadrant I, find Sin(A+B). a) 24/80 [b)] 84/85 c) 60/80 d) 60/85 Find Cos(A+B). a) 32/80 b) 45/85 c) 13/80 [d)] 13/85 Find Tan(A+B) a) 0.8 [b)] 1.72 c) 4.21 d) 6.46 I keep getting an 1.61 answer but that

Trigonometry
4. Find the exact value for sin(x+y) if sinx=4/5 and cos y = 15/17. Angles x and y are in the fourth quadrant. 5. Find the exact value for cos 165degrees using the halfangle identity. 1. Solve: 2 cos^2x  3 cosx + 1 = 0 for 0 less than or equal to x

Grade 12 Trigonometry
Angle a lies in the second quadrant and angle b lies in the third quadrant such that cos(a)=3/5 and tan(b)=24/7. Determine an exact value for a) cos(a+b) b) sin(ab) c) sin2a

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

advanced functions
Angle a lies in the second quadrant and sina=7/25. a) Determine an exact value for cos 2a b) Determine an exact value for sin 2a

trig
Find the exact value of the trigonometric function given that sin u = − 8/17 and cos v = − 3/5. (Both u and v are in Quadrant III.) cot(v − u)

precalc
Suppose that cos θ = 12/13 and that θ is a Quadrant IV angle. (a) Find the exact value of sin θ. Show work. (b) Find the exact value of sin 2θ. Show work.

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

PreCalculuscheck answers
If cos theta = 0.8 and 270

Pre calc
Find sin(2x), cos(2x), and tan(2x) from the given information. sin(x) = 5/13, x in Quadrant I sin(2x)? cos(2x)? tan(2x)? I honeslty just need one good example of how to do these please show all work and finalize answer

Math
Angles A and B are located in the first quadrant. If sin a =5/13 and cos b= 3/5 , determine the exact value of cos (a+b) .

Trigonometry
If sin A = 3/5 and cos B = 24/25 and

Trig
Angle a lies in quadrant 2, and tan(a)= (12/5). Angle B lies in quadrant 4, and cos(B)= (3/5). What is the exact value of sin(a+B) ?

Precalculus help
I have two problems I am stuck on, if you could show me how to solve the problems it would be much appreciated. 1) Find sin 2x, cos 2x, and tan 2x from the given information. tan x = − 1/6, cos x > 0 sin 2x = cos 2x = tan 2x = 2) Find sin 2x, cos 2x, and

Math Answer Check
1. Find the exact value of the expression. cos pi/16 * cos 3pi/16  sin pi/16 * sin 3pi/16 My ans: sqrt2/2 2. Find the exact value of the sin of the angle. 17pi/12 = 7pi/6 + pi/4 My ans: (sqrt2  sqrt6)/4

Math (please help!)
1. θ is a first quadrant angle in standard position and cos 1/(sqrt10)= . Find the exact value of sin . 2. feta is a second quadrant angle in standard position and tan(feta) ((sqrt5)/2) = . Find the exact value of cos(feta) . 3. θ is an angle in

Math
If sin(x) = 4/5 and cos(y) = 5/13 with both x and y terminating in quadrant 1 find the exact value of cos(xy) I know that the denominator will be 65

Math!!!
angle x is in the second quadrant and angel y is in the first quadrant and angle y is in the first quardrant such that sin x=5/13 and cos y = 3/5. Determine and exact value for cos x.

Precalculus
Use one of the identities cos(t + 2πk) = cos t or sin(t + 2πk) = sin t to evaluate each expression. (Enter your answers in exact form.) (a) sin(19π/4) (b) sin(−19π/4) (c) cos(11π) (d) cos(53π/4) (e) tan(−3π/4) (f) cos(π/4) (g) sec(π/6+ 2π)

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

trig
how do you work find sin (aB)beta sign. sin a = 12/13,a lies in quadrant II,and cos B = 15/17, B lies in quadrant I.

Algebra II
Multiple Choice (theta) means the symbol 0 with the dash in it. 1.)Which expression is equivalent to tan(theta)(sec(theta))/(sin(theta))? A.)cot(theta) B.)cot(theta) C.)tan(theta)cot(theta) D.)tan(theta)sec^2(theta) 2.)Find the exact value of:cos 375

Pre calc
Given that tanθ = 2 root 10 over 9 and cscθ < 0 , find the exact value of cos(θ − pie over 4) . I solved for the other side and got 11. After this idk what to do I was thinking using cos(ab)=cos(a)cos(b)sin(a)sin(b) but idk how to witht the pie/4

math
1) A bullet is found embedded in the wall of a room 2.9 m above the floor. The bullet entered the wall going upward at an angle of 39.6°. How far from the wall was the bullet fired if the gun was held 1.1 m above the floor? 2) Let sin θ = 2/7. Find the

Trig Question
Given that tan x= 3/4 and x is in the second quadrant. Find sin 2x, cos 2x, and tan 2x (Exact, no decimals). Please show stepbystep, thank you!

Trig hep, please? Thank you!
1. Find the exact value of sin(195(degrees)) 2. If cot2(delta)=5/12 with 0(

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

Trig
Find cos(s+t) if cos s= 1/2 and sin t= 3/5, s and t are in quadrant II. I got the answer to be 4/10 plus 3sqrt(3)/10. Is that right? Then a second problem was find sin (s+t) if sin s=2/3 and sin t=1/3, sin is in quadrant II and t in quadrant IV. I got

Math Analysis
Find the exact value of cos(x/2) if sin x = 3/4 and x is in quadrant II. ==> I got ã(4ã7)/2. Is this correct?

Math
sin theta = 8/17 and theta is in the second quadrant. Find sin(2theta),cos(2theta),tan(2theta) exactly sin(2theta) cos(2theta) tan(2theta) sin(2theta) would it be 2 x (8/17) cos(2theta) would be 2 x (15/17) tan(2theta) would be 2 x (8/17 divided by 15/17)

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:

trig help much appreciated! :))
1. Find the complete exact solution of sin x = . 2. Solve cos 2x – 3sin x cos 2x = 0 for the principal value(s) to two decimal places. 3. Solve tan2 x + tan x – 1 = 0 for the principal value(s) to two decimal places. 4. Prove that tan2 – 1 + cos2

math (trig)
Find sin(x/2) if sin(x)= 0.4 and 3pi/2 < or equal to (x) < or equal to 2pi Let's use cos 2A = 1  2sin2 A and we can match cos x = 1  2sin2 (x/2) so we will need cos x we know sin x = .4 and x is in the fourth quadrant, so the cosine will be positive.

Algebra 2
Can someone help me figure these out? I think if someone can explain how to do one of them then I'll be able to do the other. please and thank you. Suppose θ is an angle in standard position whose terminal side is in the given quadrant. For each function,

Math
Use the given information to evaluate cos (a+b). Sin a = 7/25, cot b = 8/15. Neither a nor b are in quadrant IV. exact answers only. No decimals.

CALCULUS
If cos(t)=–7/9, find the values of the following trigonometric functions. Note: Give exact answers, do not use decimal numbers. The answer should be a fraction or an arithmetic expression. a) cos (2t) b) sin (2t) c) cos(1/2) d) sin (1/2) i don't even

Trig
Given: sin x = 4/5, 0 < x < π/2 sin y = 5/13, π/2 < y < π Find the exact value of sin(x + y) I presume I'm supposed to use the sum and difference formulas but I'm not sure how to get the exactly value of cos x or cos y

math
Can someone please solve them,I just want to see examples,i will do the next 10 myself!!THX! 1)given that tan θ = 2/3 and that θ is acute,find the exact value of: a)sin θ b)cos θ c)sin^2 θ 2)given that sin given that tan θ = (√2)/5 and that θ is

mth, trig
Given cos a=7/25 in quadrant II , and sin b=12/13, in quadrant IV , find cos(a+b) and sin2a

Pre Calculus
Use one of the identities cos(t + 2ðk) = cos t or sin(t + 2ðk) = sin t to evaluate each expression. (Enter your answers in exact form.) (a) sin(17ð/4) (b) sin(−17ð/4) (c) cos(17ð) (d) cos(45ð/4) (e) tan(−3ð/4) (f) cos(7ð/4) (g) sec(ð/6+2ð)

Trig
Find sin(x+y), cos(xy), tan(x+y), and the quadrant of (x+y) if sinx= 1/4, cosy= 4/5, with x and y in quadrant 3.

Trig
Given Tan(A) = 5 in Quadrant III and Sin(B) = ⅔ in Quadrant II, find Cos(AB).

PreCalculus
Given Tan(A) = 5 in Quadrant III and Sin(B) = ⅔ in Quadrant II, find Cos(AB).

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 

Calculus repost
Does anybody know how to solve this question? a) Find the arc length function for the curve measured from the point P in the direction of increasing t from P and then reparametrize the curve with respect to arc length starting from P. b) Find the point 4

Math
1. Find the exact value of 2tan pi/12 / 1tan^2 pi/12 root 3/3? 2. Given tanθ = 1/3 and with θ in quadrant IV, find the exact value of cos2(θ) 4/5 3. Exact value of cos^2 67.5  sin^2 67.5 root3 /2 4. The expression cos 3θ can be rewritten as 1 

math
Use the exact values of the sin, cos and tan of pi/3 and pi/6, and the symmetry of the graphs of sin, cos and tan, to find the exact values of si pi/6, cos 5/3pi and tan 4pi/3. I have found the answers to the first three using the special tables

math
Use the exact values of the sin, cos and tan of pi/3 and pi/6, and the symmetry of the graphs of sin, cos and tan, to find the exact values of sin pi/6, cos 5/3pi and tan 4pi/3. I have found the answers to the first three using the special tables sin pi/6

Please help!!!)
If sin(x) = /45 and cos(y) = 5/13 with both x and y terminating in quadrant 1 find the exact value of cos(xy) cos(4/5  5/13) Is this what I would do?

math
If sin(x) = /45 and cos(y) = 5/13 with both x and y terminating in quadrant 1 find the exact value of cos(xy) cos(4/5  5/13) Is this what I would do?

Math
If sin(x) = /45 and cos(y) = 5/13 with both x and y terminating in quadrant 1 find the exact value of cos(xy) cos(4/5  5/13) Is this what I would do?

trigonometry
5. If cot 2θ = 5/12 with 0 ≤ 2θ ≤ π , find cosθ, sinθ, and tanθ 8. Find the exact value of sin2a if cosa = 4/5(a in Quadrant I) 13. Find the exact value of tan2 if sinB = 5/13 (B in quadrant II) 14. Solve sin 2x + sin x = 0 for 0 ≤ x ≤

Math
Find the exact value of the trig expression given that sin u = 5/13 and cos v = 4/5. u and v are in the second quadrant. cos(v  u)

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 +

Trigonometry
Suppose *u* is a quadrant IV angle with cos(u) = 3/5. Suppose *v* is a quadrant IV angle with cos(v) = 12/13. Find the exact value of sin(uv) I have gotten to sin120cos150  sin150cos120 but I am not sure I am correct up to that point and I don't know

Trigonometry
find the exact value of sin 2α if cos α=4/5 (α in quadrant I)

math
If Ѳ is in Quadrant II, and cos Ѳ=3/4 , find an exact value for sin 2Ѳ.

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

simple trig
If sin(theta)=[sqrt(70)]/7 and theta is in Quadrant two, find the exact numerical value of tan theta without using a calculator. I got tan(theta)=[sqrt(294)]/42 Is that right? if sin(theta)=a where 0

easy trig
If sin(theta)=[sqrt(70)]/7 and theta is in Quadrant two, find the exact numerical value of tan theta without using a calculator. I got tan(theta)=[sqrt(294)]/42 Is that right? if sin(theta)=a where 0

precalculus
given that x is in quadrant 1 and that sin x = 2/3, find exact values for: is this correct? 1) sec (30° + x) = 3/√15 2) cos (1/2 x) = √(√5)/2

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. The part I am

math
Sin theta equals 5/12 in quadrant, find the exact value of cos 2theta. I'm not sure how to solve this question, I need some help.

Calculus
Suppose that sin q = − 12/13 and that q is a Quadrant IV angle. (a) Find the exact value of cos q. Show work. (b) Find the exact value of sin 2q. Show work.

Math Trig
1. Determine the exact value of cos^1 (pi/2). Give number and explanaton. 2. Determine the exact value of tan^1(sq. root 3). with explanation. 3. Determine exact value of cos(cos^1(19 pi)). with explanation. 4. Determine the exact value of sin(sin^1(20

Trig
What is the exact value of tan(s+t) if sin(s+t)=56/65. And cos(s)=5/13 and sin(t)=4/5. Everything is in the first quadrant

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

precalc
Find the exact value of each expression, if it exists: the 1 are representing the inverse functions! (a) sin 1 (√2/2) (b) cos−1 (−1) (c) sin( sin−1 (π)) (d) cos−1(cos(−4π/ 3)) (e) tan−1 (tan(0.6)) (f) cos−1(

Math
An angle θ, in standard position, has its terminal side in Quadrant IV on the line 12x + 5y = 0. Find the exact values of sin θ and cos θ.

MATH
Hi, I really need help with these questions. I did some of them halfway, but then I got stuck. Would you please help me? Thank you so much. Prove the identity.... 1. sec x + tan x(1sin x/cos x)=1 1/cos x + sin x/cos x(cos^2 x/cos x)=1 1+sin x/cos

Algebra 2
Can someone help me figure these out? I think if someone can explain how to do one of them then I'll be able to do the other. please and thank you. Suppose θ is an angle in standard position whose terminal side is in the given quadrant. For each function,

trig
can someone please help me with this problem. i'm doing my review right now and i'm stuck? Find cos(s + t) given that cos s = 1/3, with s in quadrant 1, and sin t = 1/2, with t in quadrant 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

trig
Suppose sin theda= – 3/5 and theda is a Quadrant III angle. Find the exact value of sin 2 theda and cos 2 theda.

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 +

add math
Given cos x = 3/5 , sin y =12/13 and 0º< x

Trig
Use the given information to evaluate sin (a+b). Exact answers only. No decimals. Tan a = 4/3, cos b ='12/13; neither a nor b are in quadrant III.

Trig
Use the given information to evaluate sin (a+b). Exact answers only. No decimals. Tan a = 4/3, cos b ='12/13; neither a nor b are in quadrant III.

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°

Pre Calculus
Use one of the identities cos(t + 2ðk) = cos t or sin(t + 2ðk) = sin t to evaluate each expression. (Enter your answers in exact form.) (a) sin(17ð/4) (b) sin(−17ð/4) (c) cos(17ð) (d) cos(45ð/4) (e) tan(−3ð/4) (f) cos(7ð/4) (g) sec(ð/6+2ð)

trig
suppose that sin(x) + cos(x) = 4/3 a)square this result and find a value for sin(x)cos(x). b)using the result from a) find the exact value of sin^3(x)+cos^3(x). (Hint: Do you recall how to factor x^3 + y^3)

math
theta is a first quadrant angle in standard position and cos theta = 1/(sqrt10) . Find the exact value of sin theta,

math
use exact values of the sin,cos and tan of (pi/3) and (pi/6)(which I have found)and the symmetry of the graphs of sin,cos and tan to find the exact values of sin(pi/6), cos(5pi/3) and tan (4pi/3). I know that sin (pi/6) = 1/2 and cos (5pi/30 = 1/2 and

Trig (math)
1.) Write the complex number in trigonometric form r(cos theta + i sin theta) with theta in the interval [0°, 360°). 9 sqrt 3 + 9i 2.) Find the product. Write the product in rectangular form, using exact values. [4 cis 30°] [5 cis 120°] 3.) [4(cos

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)

math
I really dk how to do them,i have spend hours doing it Can somebody please solve and if possible show the steps thx,just 3 questions __ 3)Given that tan theta = ✓3 and that 90 degree ≤ delta ≤ 180 degree,find the value of: a) tan delta b)cos delta

Maths
Evaluate the expression under the given conditions. sin(θ + ϕ); sin(θ) = 12/13, θ in Quadrant I, cos(ϕ) = −(2(sqrt 5))/5, ϕ in Quadrant II Thanks

Trig
suppose that the angle theta is in the second quadrant, and that sin(theta)=1/3. Find exact values for cos (theta) and csc (theta)

trig
2sin(x)cos(x)+cos(x)=0 I'm looking for exact value solutions in [0, 3π] So I need to find general solutions to solve the equation. But do I eliminate cos(x), like this... 2sin(x)cos(x)+cos(x)=0 2sin(x)cos(x)= cos(x) 2sin(x) = 1 sin(x) = 1/2 at 4pi/3

math
use exact values of the sin,cos and tan of (pi/3) and (pi/6)(which I have found)and the symmetry of the graphs of sin,cos and tan to find the exact values of sin(pi/6), cos(5pi/3) and tan (4pi/3). I know that sin (pi/6) = 1/2 and cos (5pi/30 = 1/2 and