Prove that sin 5x + sin 3x/4 sin x cos^3 x - 4 sin^3 x cos x = 2 cos x

Q: Please help me verify this identity: (sinx + cosx)^2 / sin^2 x - cos^2 x = sin^2 x - cos^2 x / (sinx…

A:

Q: sin 20 5) Verify tan 0 %3D 1+cos 20

A:

Q: (tan® – sin®)²+(1 – cos®)²= (1 – sec0)²

A:

Q: Prove the identity. sinx 1. cotx 1-cosx sinx

A: 1 - sin2x = cos2x

Q: cosx+sinx=cos(2x)  Prove that tanx=-1

A:

Q: Prove the identity. sinx 1+ cos.x 2 cscx 1+ cos.x sinx

A: Given, The identity  sinx1+cosx+1+cosxsinx=2cscx We have to prove the identity.

Q: prove that 2. = - Cotx + C 2 |- Cos?x + Sinx

A:

Q: Prove that: 1) csc 0 + tan 0 . sec 0 csc 0.sce20 1-cos" x 2) sin x .cos x tan x 3) 3 cos' x-sia x+1…

A:

Q: 04) Prove that 1- Cos + x) = sin x, 2- (sin x +cos x) sec x = sec2 x %3D

A: We have to prove that following trigonometric identity.

Q: 5)Prove that (1+sinx)(1+sin(-x)) = cos²x (manipulate left side in order to get right side) %3D

A: We have to prove the given identity: 1+sin x1+sin -x=cos2 x We know that sin -x=-sin…

Q: Prove: sin (2 cosx) = 2x1-x

A:

Q: If tan x = 3, cos x > 0, , then - sin 2x cos 2x tan 2x %3D

A:

Q: solve (sinx)sec^2(x)+(cos x)cosec^2 (x)=0

A:

Q: Prove the identity. sin'x cos'x = (cosx-cos x) sinx 3. cos x- cos x) sinx

A:

Q: Express sin6 Oin terms of powers of sin Oonly

A: We have given,  sin6θ we have to express it in the term of sin only.

Q: Verify identity tan2 2x + sin2 2x + cos2 2x = sec2 2x.

A: To verify: tan2 2x + sin2 2x + cos2 2x = sec2 2x WKT cos2x+sin2x=1 x refers to any number, Replace x…

Q: cotx (1- cos 2x) = sin 2x

A: Formulae used: 2sinx cosx = sin2x cotx = cosxsinx cos2x = 1-sin2x

Q: cos(-x)+sin(x=x) Q4 prove that sinx 2

A:

Q: 2. cotx = sin xsin π 2 --x+cos² x cotx

A:

Q: Verify the identity.   1 + sin x 1 − sin x  −  1 − sin x 1 + sin x  = 4 sec x tan x

A: The given identity is,

Q: Show that 3(sinx-cosx)*+6(sinx + cosx) +4 (sin r+cosx) = 13

A: Since multiple questions are asked, Answering first one. Repost with other question if you want to…

Q: Verify the identity. tan(0) sin(0) + cos(8) = sec(0) tan(0) sin(0) + cos(0) : sin(0) + cos(0) cos(0)…

A:

Q: 2. Verify: sin x+tan x %3D sin2x sec x cscx+cotx

A:

Q: Prove the identity. 1+ sinx cosx =2 seex cosx 1+ sinx

A: We need to prove the following identity 1+sinxcosx+cosx1+sinx = 2secx

Q: Prove that 1-cos2x+sin2x 1+cos2x+sin2x = tan x

A:

Q: √3 csc x − 2 = 0  tan 3x(tan x − 1)  sin2 x = 3 cos2 x

A:

Q: sin can be expanded to: sin 4 COS 2 cos - sin sin 2 O sin 4 sin -cos - + cos –sin 2 4 2 O sin + sin…

A: Given: sinπ4+π2 To find: expand the given trigonometric expression. The formula for…

Q: sin 2x+cos2x+1 1- Prove cot x sin 2x-cos 2x+1

A:

Q: prove that = - Cotx + C 1- cosx +Sin'x

A: According to the question, we need to evaluate the integration: F(x) = 2(1 - cos2x + sin2x) We need…

Q: prove that: sin7x.cos3x-cos7x.sin3x/tan2x=cos4x+1

A:

Q: Prove the identity.   (1-tanx)^2=sec^2x-2tanx.

A: We have to prove the identity(1-tanx)2= Sec2x - 2 tanx

Q: If tanx = 2/2 and a < x < find cos- 2 %3D

A:

Q: rove the identity. sin(3x)/sin(x)cos(x)=4cos(x)-sec(x)

A:

Q: Prove (cosa + cosB) + (sina + sinß)° = 4cos²- « - B) %3D

A: Prove this equation by using some trigonometry identity

Q: Prove (Start either from the LHS or the RHS but DO NOT work from both sides at the same tim 3. Prove…

A:

Q: prove that catX+c - Cos'x+Sin2X

A:

Q: prove that 2. = - Cotx + C |- Cosx +Sinx

A: This question is fairly based on simple formulas of trigonometry and calculus

Q: Find sin(x/2) =  cos(x/2) =  tan(x/2) =  Given tan(x) = 2sqrt2    0 degrees < x< 90 degrees

A:

Q: Prove (secx+tanx)/(secx-tanx) = (1+2sinx+sin^2x)/cos^2x

A: To prove that   (secx+tanx)/(secx-tanx) =(1+2sinx+sin2x)/cos2x

Q: 1. sec x – tan x sin x = secx 1+cosx 2. = cscx + cotx sinx secosine 3. tan0+cot0 sin20 secß 4. tanß…

A: Here we prove the trigonometry equations.

Q: sin 2x sin x Cos 2x %3D Prove that 4 cos x - sec x Cos a

A:

Q: sin 2x+cos2x+1 1- Prove cot x %3D sin 2x-cos 2x+1

A:

Q: Verify the identity. 9 cos(sin ¹ x) = √81 - 81x² = 8 = x = . Thus, Let 8 = sin-¹ x = sin 8 = x 9…

A:

Q: Verify the identity. (Simplify at each step.) sin5/2 x cos x – sin9/2 x cos x = cos³ x/ sin5 x…

A: sin2X+cos2X=1 this is formula cos2X=1-sin2X

Q: Find exact function values for: a. sin(α/2) b. cos(α/2) c. tan (α/2) cosα = 12/13, (3π)/2 < α <…

A: The given trigonometric ratio is cosα=1213 ,where3π2&lt;α&lt;2π (a) To find the value of sinα2…

Q: (1+cos(x))(1-cos(x))=1/2sin(2x)tan(x)

A:

Q: Prove (sin10x)/(sin9x+sinx) = (cos5x)/(cos4x

A: Explanation of the prove is given below..

Q: prove  cosx( 1- tan x)= cos x- sin x

A: