x where 3π/2 ≤ x ≤ 2π. 1 + sec²x = 2 + cos²x + sin²x

Q: 1 + sin 4x cos 4x + C 8. 13.

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Q: Solve for x if 0 ≤ x ≤ 2π. Sin2 4x = 1

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Q: ·S Evaluate cos x sin³ x dx. + C

A: To evaluate the following integral.

Q: √3+2 px/3 ² √²³ (2² 10 (2 cos 0 - 3 sin 30) de dr

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Q: r=2(9+1)sin0

A: Since  Sin (0) = 0

Q: Show that sin-1 v + cos-1 v = π/2 .

A: Given: sin-1 v+cos-1 v=π2

Q: for 2 sin (xy t 22) W ニ

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Q: S(1 + sinx)-1sinxdx

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Q: 11. cos4x-cos2 dx sin4x-cos2x

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Q: I-Shinx dx Ig-/sin'xdx 2-x2 dx

A: We have to evaluate the above integrals. NOTE - According to our guidelines we have to answer only…

Q: - sinx) dx 2. 1. (COSX (ax' +b)*x dx 2. 2/3

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Q: Evaluate sin (3x) cos (6x) dx Select one: cos(9r) A cos(3r) tC 18

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Q: Determine all solutions to the equation √2 cos2x = sin²x + cos²x on the interval [0, 2rt).

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Q: dy Find dif sin x + 2 cos 2y) = 1 dx

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Q: Cos(10+x)

A: Here , We will apply the formula of Cos ( A+B) Cos(A+B) = [CosA CosB - SinA SinB ]

Q: 9=3 Sin 2X 2.

A: answer is in next step

Q: d. Show that sin 8x + sin 4x cos8x-cos4x = -cot(2x)

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Q: - Find all solutions for 4 cos x+V3 = 2 cos x if 0<x<2n. %3D

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Q: 2-Find L(e-3tsin2t)

A: Given function is, f(t)=12e-3tsin2t Now, from the property of Laplace transformation we get, L(…

Q: 2 sin2x – 3 = 3 cos x and 90° < x < 270°

A: Hello , thanks for your question as it is not clear mentioned that it is Sin2 x or sin 2x So we are…

Q: Simplify cos²(4y) - sin²(4y)

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