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

Q: (c) Prove that sin x 7C sin 2 x2 dx +4x+5

A: The integral function is ∫-∞∞sinxx2+4x+5dx

Q: . Give the exact value of sin V3 2.

A: Given: sin-132

Q: Prove that cos(sinx) = /1 – x².

A:

Q: Evaluate : 1) | cos x 3) [ cos x 2) [ ,cot ydy sin' x 1+ sin x 7/4

A:

Q: Find the value of x  sin2x=sin600cos300-cos600sin300

A: Given,           sin2x=sin60°cos30°-cos60°sin30°

Q: Prove that sin -1 x + cos -1  x = pie /2

A: We have to prove:

Q: Find the value of sin2x over the interval (0,pie)

A: Given that  f(x) = Sin2 x and interval is 0, πWe know that the average value of a continous…

Q: a) Buktikan, Prove that, (sin x + cosx)* = sin 2x + 2 sin 2x +1.

A: The given equation,sinx+cosx4=sin22x+2 sin2x+1

Q: Prove the identity sec x - cos x = sinxtanx

A: To prove the identity

Q: Prove sin 2x cot x (1 - cos 2x)

A:

Q: and sin x<0, find: Sin (2x) If cosx = 12

A: cos(x) = π/12  Then,  sin(x)  =  1-cos2x  =  1-π2122  =  144-π212

Q: Verify the identity : (1 - cos 2x)/sin 2x = tan x

A: Given that:   To use the angle formulae: cos 2x = cos 2 x - sin 2 x sin 2x = 2 sin x . cos x sin 2 x…

Q: Prove the identity (sin x - cos x)2 = 1 - sin 2x

A:

Q: Prove the equation Sin^2xcos^3x=(sin^2x-sin^4x)(cosx)

A:

Q: Prove the identity. cos²x 1+ sinx (1– sinx)? 1- sinx

A:

Q: Prove the identity. sin(x+y) sinx + cos(x+y) cosx = cosy

A:

Q: Prove using the IVT. tan-1x = cos-1x has a solution.

A: Given :                      tan-1 x = cos-1 xSolve :                     tan-1 x = cos-1 x…

Q: Show that Cosx dx 9- Sin 3D

A:

Q: Express 2 sinx- v2 cos x in the form of Rsin(x – a), w

A: Given expression is   2 sinx -2 cosx

Q: Verify the identity: sin 2x = 2tan x /(1 + tan2 x).

A: Given The identity is sin(2x)=2tan x1+tan2x

Q: prove that: tan(x/2)= (sinx/1+cosx

A:

Q: Express the product sin 7x cos 3x as a sum or difference.

A: Given information: The given expression is sin7xcos3x. Concept used: 2sinAsinB=sinA+B+sinA-B…

Q: Prove (Start either from the LI 1- sin x 2. cosx COSx 1+ sin x

A: To prove : 1-sinxcosx=cosx1+sinx

Q: Prove + cosß)* +(sina + sinß) = 4cos² a - B) %3D

A:

Q: Prove the identity. cosx sin (x+y) – sinx cos (x+y)= siny

A: In question We have given two identities and we'll prove it, (i). Cos(π + x) = - Cosx  (ii). Cosx…

Q: Prove sin (90◦+x) + sin (90◦−x) = 2 cosx

A:

Q: Prove that: Sin'x+ cosx=I

A:

Q: Which is equal to (sin⁡x+cos⁡x)^2+(sin⁡x−cos⁡x)^2 using identities?

A: Now we use identity  Sin2x +cos2x =1 And formula (a+b)2= a2 +b2 + 2ab  (a-b)2 = a2 + b2 - 2ab

Q: Show that the equation sin(cos 2x)= V1-4x² is an identity. %3D

A:

Q: Prove the identity. cosx- cos 7x tan 3x %3D sinx+ sin 7x

A: Here we use basic formulas of trigonometric ratios to find addition and subtraction.

Q: verify that (sin(x)-cos(x))^2=1-sin(2x)

A:

Q: prove the identity  sin(x) + sin(3x) = 4 sin(x) cos2(x)

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Q: Why is cos(sin^-1(x)) equal to sqrt(1-x^2)?

A:

Q: provethat 2. 1- cosx +Sin'x

A:

Q: verify sin2(x)+cos2(x)=1

A:

Q: Verify the identity: [sin 2x + (sin 3x + sin x)]/[cos 2x + (cos 3x + cos x)] = tan 2x

A: Consider the identity, sin2x+sin3x+sinxcos2x+cos3x+cosx=tan2x To apply the trigonometric identity,…

Q: Prove the identity. ex(1- sin'x) = So cosx | %3D

A: Prove the identity- Secx(1 - sin2x) = cosx. We know that : sin2x + cos2x = 1 Here i attached…

Q: Suppose that sin(θ)=2/6. What sec(θ)=______.

A: As we know that; The trigonometric ratios;…

Q: prove that sin⁴x - sin²3x+sinx-3 = 0 has no solution.

A: prove that sin⁴x - sin²3x+sinx-3 = 0 has no solution.

Q: prove the identity cosx + sinxtanx= secx

A: The given identity,cosx+sinx tanx=secx

Q: Express as a sum or difference.3 cos x sin 2x

A: To express: The expression 3cos x·sin 2x as a sum or difference. Given: The expression is 3cos x·sin…

Q: Prove that cos(sin-x) = /I– x².

A: Given: sin-1x=cos-11-x2

Q: Prove the identity. secx (1-sin'x) = cannot b cosx %3D

A:

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

A: Solve the integration

Q: prove the identity sin^2xcos^2x+cos^(4)x=(1-sinx)(1+sinx)

A:

Q: Derive/Prove: sin 2x = 2 sin x cos x

A:

Q: Prove the identity. sin 2x cotx %3D 1- cos 2x

A:

Q: Use the Substitution Rule to prove that∫sin2ax dx =(x/2) -(sin(2ax)/4a )+ C

A: Given:∫ sin2 ax dx