Prove the below cos' x sin 3x + sin' x cos 3x 3 sin 4x 4 II

Q: 2: Prove that a) cosx tan3x = sinx tan’x b) (sin x + cos x)² = 1 + sin 2x

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Q: Prove that cos(sinx) = /1 – x².

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Q: 1+cos2x 3. cotx sin 2x

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Q: prove the identity cos^3x sin^3x =(sin^3x-sin^5x)cosx

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Q: Verify the identity: (cos 3x - cos 5x)/(sin 3x + sin 5x) = tan x.

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

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

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

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Q: Prove the identity. cos(3x) − cos^3 x = − cos x sin^2 x − sin x sin(2x)

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

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Q: tan(2x) = O cos(4x) – 1 sin(4x) COS O 1+ cos(4) sin(4x) O 1- cos(2) sin(2x) sin(4x) 1+ cos(4x)

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Q: * Prove: sin x = cos COS 2- 2cos x

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Q: Prove Cos (3x)- cos (7x)/sin (3x+sin (7x) =tan (2x)

A: To Prove: Cos3x-Cos7xSin3x+Sin7x=tan2x Formulae to be used:…

Q: Prove the identity. sin 2x- sin 6x - tan 2x cos 2x+ cos 6x

A: The objective is to prove The Identity.

Q: Show that Cosx dx 9- Sin 3D

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Q: To evaluate sin*2x cos 2x dx , the identities to be used is/are: 1+ cos4x A sin4x & 2 2 B cos²2x= 1-…

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Q: 1- sin2x/1+cos x=cos x. Verify the identity

A: The given identity:

Q: cos(4x) cos(2x) sin(4x) sec(2x) 12. Verify: - sin(2x)

A: cos(2x ) =cos2(x)-sin2(x) = 2cos2(x)-1 =1-2sin2(x) sin(2x) = 2sin(x) cos(x)

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: 6. Verify the identity: sin x 1 + cosx 1 + cosx sin x 2 cscx %3D

A: Topic = Trigonometry

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

A: To prove : 1-sinxcosx=cosx1+sinx

Q: Verify the identity: 4 cos x cos 2x sin 3x = sin 2x + sin 4x + sin 6x

A: We have to verify the identity: 4cosxcos2xcos3x=sin2x+sin4x+sin6x We know that…

Q: (sinx + cosx)^2 = 1+sin(2x

A: Consider the given expression sinx+cosx2

Q: Establish the identity. (5-) - sin cos 0 %3D

A: Given,          sinπ2-θ=cosθWe know that,           sinA-B=sinAcosB-cosAsinB

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

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

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Q: 4. Prove that cos(sin¬1 x) = /1 – x².

A: cos(sin-1x)=1-x2⇒sin-1x=cos-1(1-x2)Let y=sin-1x                               (1) ⇒siny=x…

Q: Prove ONE of the follow sin x+ cos 2x-1 tan x %3D a) cos x-sin 2x

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Q: Verify the identity. cos 7x- cos 9x tan 8x sin 7x- sin 9x Statomont

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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: 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 2tan x cos (3x) = sec x (sin(4x) - sin (2x))

A: Topic- trigonometry

Q: 15. integral sin 4x cos 4xdx

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Q: 1+ cos x sin x 7. Verify: ¹ 11 csc x + cotx

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Q: Prove the below 3 sin 4x 4 cos' x sin 3x + sin' x cos 3x |

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Q: Prove: sin² x + 2 cos²x − 1 = cos²x -

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

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Q: Verify the identity. sin 5x + sin 3x 2 cos x 4 sin x cos3 x - X – 4 sin x cos x 3.

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Q: 9. Prove: csc(x)-csc(x)cos² (x) = sin(x)

A: To prove: csc(x)-csc(x)cos2(x)=sin(x) Note that, sin2(x)+cos2(x)=1

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

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Q: Verify that (sin(x) – cos(x)) = 1- sin(2x)

A: sinx-cosx2=sin2x-2sinxcosx+cos2x     ∵a-b2=a2-2ab+b2=sin2x+cos2x-2sinxcosx=1-sin2x…

Q: Prove sinxtanx + sinx tanx 1 cosx is an identity.

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

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Q: . Prove only 1 of the 2 identities given. sin x 1-cosx = 2 csc x 1-cos x sinx -) 1- sin? x – sin² y…

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Q: Prove the below 3 sin 4x 4 cos' x sin 3x + sin' x cos 3x

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

A: Explanation of the prove is given below..

Q: Verify that 2tan (x/2)= (sin2x+1-cos2)/(sin x(1+cos x)

A: Consider the given condition that,2tan (x/2) = (sin2x+1–cos2x)/(sin x(1+cos x)) … (1)Consider the…

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.