sin“ x + cost a =1– 2 cos? x + 2 cos e

Q: 3. sin 3x sin4 Vx

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: (Integral sign) tan^4 x sec^6 x dx

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Q: cos(: sin@)]=[- sin(esin@)]. * (b) (i) Show that - cose dt

A: We will use product rule of differentiation here

Q: sin'x+ tan?x + cos x = seck Gase seck (Sinx) (tanx t cotx)= secx

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Q: Verify the identity:

A: The given identity is sin3x+cos3x=sinx+cosx1-sin2x2

Q: VERIFY THE IDENTITIES

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Q: sin x cos x) (2 -

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Q: sin 2x What will be value of integral dx ? sin + COS 2

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Q: (sin 0)y" - (cos 0)y' 2 %3D

A: In the given question 5, The order of the differential equation is = 3 And the equation is linear.

Q: he interval [0,2r) cos (x) sin (x) = 2 cos (x)

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Q: sin(2n – 1)x dx , Un %3D sin x

A: Yghhhhhhg

Q: sin x cos x dx x Cos

A: Given integral, ∫sinx cos2x dx

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

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

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: cos 2x – cos x lim sin?

A: To evaluate: limx→0cos2x-cosxsin2x Solution: We know, cos2x=2cos2x-1  ..(1)sin2x=1-cos2x      ..(2)…

Q: cos x - sec x = 0

A: Given equation can be written as Since secx=1/cosx Therefore, we have

Q: your work to earn credit. V3 sin + sin 2 cos"(1) 2 COs V3 - sin -1 + cos 2. - sin'(0) -1 cos

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Q: CoS 2X sin x,co

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Q: sin 20 cose = tan 1+ cos 20 " 1+ cose 2

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Q: sin x - cos x = 1/5, what is (sin x) (cos x) equivalent to?

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Q: Sin(2x)Cos(nx) da

A: Law :  2sinAcosB = sin(A+B) + sin(A-B)

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

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Q: (Integral sign) tan^2 x cos^3 x dx

A: The given integral is

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

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Q: snip

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Q: sin( + 0) - cos( + 0) = %3D cos 0 sec Ө CSc e sin 0

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Q: sin(x+y) Verify that (sec x cos y + sin y csc x) %3D sin(2x)

A: Prove that sin(x+y) /sin2x?

Q: + sin(x) = cos(x) 4x²

A: Concept:

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

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Q: sin (2x) b. cos(2x)+ 1 = tan (x)

A: Prove

Q: sin 2ø tan² ß do + (sec² ß – 1) cos p dß = 0 B = 2 sin o + c %3D o p = 2 sec² B %3D

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Q: (cos(3x) sin(x) – sin(3æ) cos(x)) da

A: In the given question we need to evaluate the integral- ∫cos3xsin(x)-sin(3x)cos(x)dx , which can be…

Q: sin 4t – sin 2t = tan t cos 4t – cos 2t

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Q: cos 0 - sin 0 tan (-0) = %3D 4 cos 0 + sin 0

A: tan(π4-θ)=cos(θ)-sin(θ)cos(θ)+sin(θ) LHS tan(π4-θ)=tan(π4)-tan(θ)1+tan(π4)tan(θ) [Because Angle…

Q: integral sin2 x cos3 x

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Q: sin x – cos r cos z cos 2x sin x + cos x 1+ sin 2x

A: Given, sinx-cosxsinx+cosx We need to prove that the value of sinx-cosxsinx+cosx is -cos2x1+sin2x…

Q: 1+ sine tane + sece - 1 tane – sece +1 Prove that cose

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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 . sin . cos x d. cosz tan E tanz 214 14

A: Given that,

Q: sin 2x/1-cos 2x =cot x. verify the identity

A: Consider the given equation.

Q: Sin °0 = Sec e-cos e Cos O = Sece-COs

A: Consider  sin2θcosθ=secθ-cosθ

Q: Evaluate (sin² (sin² x cos x)(1+ sin z cos x) dx.

A: Use substitution method

Q: sin x cos x tan x = 1 – cos² x -

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Q: sin 0 sin 0 2 1- cos 0 1+ cos e tan 0

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Q: sin x cot x (1 – cos x Prove -- sec x | 1) Show all work to receive credit

A: We have to prove