sin* x – cos* x = 1 x – cos? x

Q: tan x csc² x-tan x sin x tan +cos x cos² cos? x csc x Prove Show all work to receive credit

A: Apply the basic trigonometric formulas and simplify the terms.

Q: cos( - x) = O sin( - x) O cos( + x) cos( - x) sin( + x)

A: The given expression is: cos π3-x Note that: cos θ=sin π2-θ

Q: (sin°(3x) + sin²(3x)) cos(3x) dx

A: We have to find the indefinite integral.

Q: | sin* x cos xdx 4 X COS X

A: This question is related to integration.solve as below

Q: sinr cos (x - y) - cosx sin (x - )

A: As we know that the trigonometric identities: sinA-B=sinAcosB-cosAsinB   Given:…

Q: sin'x+ cos x sinx 3 ,2. tan x sec x = 2 cos"x

A: use simple trigonometric relations to prove it.

Q: cosx sin'x = 3.. 3. cos°x sin°x= 5. = (sin°x- sin°x)cosx

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Q: sin(2x) cos(2x) Prove sec(x) sin(x) cos(x)

A: Trigonometry

Q: sin (x) – cos²(x) Show that 1 F COS %3D CSC (x)

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Q: Verify identity (csc x - cot x)2 =(1 - cos x)/(1 + cos x).

A: The given identity is csc x-cot x2 =1-cos x1 + cos x

Q: Prove the Identity

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Q: Verify the identity.

A: Use the trigonometric identities sinA+sinB=2sinA+B2cosA-B2 and cosA+cosB=2cosA+B2cosA-B2 to simplify…

Q: sin (In (x))x

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Q: sin^4x - cos^4x/sin^2x - cosx =1. prove the identity.

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

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Q: sec x sin x sin.x Cosx 1 – cosx sin x sin.x 1- cos.x

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Q: sin (3x) + cos (3x) cos(x) – =1+4sin(x)cos(x)

A: We use sin(3x)= 3sinx-4sin3x and cos (3x)= 4cos3x-3cosx .

Q: sin x 1+cosx 2csc x= 1+cos x sinx

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Q: sin 2x 29. sin x cos 2r = sec x cos X

A: As you mentioned solve question no.29

Q: sin(cosx * x + Vx) (cosx)2 sin (x²) * cos(x –-) sin(x) – 2

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

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Q: sin 2x 4. tan x = %3D 1+cos 2x 19 5. tan %3D = CSC X - cot x

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Q: cos x + sin² x + 1 dx cos² x (sin² x + 1)

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Q: tan x csc x(1+ sec x) ove 1- cos x %3D

A: you need to know these formulae before solving the question:

Q: Verify the identity:

A: Given : 1sinxcosx - cosxsinx = tanx

Q: 8 sin x cos x sec x =

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Q: sin x = csc 2x cos x cos 3x sec 2x

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Q: sin5x + sinx Verify the identity. = tan 3x cos 5x + cos.x

A: To verify the identity. sin5x + sinxcos5x + cosx = tan3x

Q: sin x cot x (1 – COs x Prove - (sec x+1)

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 3. sinx tan x + cos x

A: We can simplify the expression as below.

Q: sin 2x cos x + cos 2x sin x = −1

A: sin(x+y)=sin(x).cos(y)+cos(x).sin(y) if sin (θ)=-1       then  θ=(2nπ+3π/2)  where n is an integer

Q: . sin 2x cos x+ cos 2 sin x = 12

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Q: sinx 0 cosx –sinx cosx is non singular for all values of x. 1 lect one:

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Q: sin 3x-sin x Prove tan x. cos 3x+cos x

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Q: cos(x+π6)+sin(x−π3)=______

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Q: integral sin2 x cos3 x

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Q: sin 7x dx 1 1 sin dx x cos² x 2 | (tan x + cot x) dx

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Q: sin'x cos'xdk 3. X COS

A: It is given that, ∫sin2xcos3x dx We have to solve it.

Q: sin x+ tan x sin (2x) 5. Determine the non-permissible values of the identity 1+ cos x 2 cos x Cos3x…

A: Solve using properties trigonometric identities

Q: COs x + sinx COS x - Sln x - sin = 2 tan 2x %3D Cos x- sin x COS x + sin x

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Q: cos(x) 3) 1-sin(x) sec(x) + tan(x)

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Q: sin(5x)+ sin(3x) tan(4x)= cos(3x)+ cos(5x)

A: We have to prove the identity

Q: 1+sin x+cosx 1+cos x (b) 1+sinx-cos X sin x

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Q: sinx + sin 2 Evaluate | cosx A. -In cos x|– x+ C В. In'secx-x+ C C. -In|sec x|+ x+C D. In sec x|+x+C

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Q: sin 3x-sin x 5. cos 3x+cosx tan x

A: Definition used -…

Q: Verify the identity: (sin x + cos x)/sin x - (cos x - sin x)/cos x = sec x csc x

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Q: sin x cos x tan x = 1 – cos² x -

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

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