on 7 Show that Hence, show that ion 8 fy cos 3A = cos 2A cos A - sin 2A sin A stion 10 cos 3A Jaman tion 9 for all values of x in the interval -π ≤ x ≤ T 4 cos³ A3 cos A sin A cos A tan A + 2 sin A cos³ A sin 24 2 cos²x+9 sin x = 3 sin²x

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

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Q: Show that Then use (1) to find - Stan³ 1. sin" r cos™ previous one. dr = 1 sin-1 2 m-1 cosm-1 2 tan³…

A: 1) The given integral is tan3x.  Repost the next question.

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Q: 2c. Show that * (5 - ) 4 sin z - cos 2r + 3 -8 cos for every r.

A: To prove: 4sinx-cos2x+3 = 8cos4π4-x2 We know that cosx-y  = cosxcosy+sinxsiny and cos2x= 1-2sin2x

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Q: Compute | cos z dz. cos z +C 3 cos a + sin z +C 3 sin r + cos x +C 3 Cos x - sin I sin z + 5 sin x…

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Q: Find all xE[0,2pi] that satisfy sin 2x + cos x = 0 x =

A: Topic- Trigonometric Equations We are given, sin(2x)+cos(x)=0 and x∈[0,2π] We know that sin(2x)=2sin…

Q: 1) 2) 1 sinx.cosx dx 4 + sin?x dx VX (1– X) (x – 1) X^

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Q: sin 5.x cos 5x ERCISE & Prove that: X (1) cos(A+B)+cos(A-B)=2 cos Acos B cosy+sin y cos.x+sinx *(3)…

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

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Q: 6. Which of the following is FALSE? 7. f A. (4 cos x-3 sin x) dx = 4 sin x + 3 cos x + C B. f3e³x dx…

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Q: 9 Prove Sen 4t 4 cos3t sint-sin3t cos t.

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Q: Show that for n ≥ 2, [cos" a da x = Use this to find To cos¹ x dx. sin x cos-1x n + n-1 n I cos"-2₂…

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Q: Prove that 55 sin x² dx - 5 cos x² dx = 1/2 √

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Q: <{cos 7/½ + j sin 7) 5. Simplify 3. 3.

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Q: d) √3 cos x + sin x = 0 [-2π, 0]

A: By converting the given equation in single trigonometric function,, 99, 254); position: relative;…

Q: sin mx = m sin x 1+m 1-m 3 2 2 2 sin x

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Q: The relations cosh(i t) = cos t and sinh(i t) = i sin t were discussed in the Excursion. Use these…

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Q: cos(-r) 1-sin(-z) 3 x 1+sin r COS T 6 csc z 6 csc z 6 sec 2 06 sec I 3.

A: Trigonometry problem...

Q: 3 Evaluate COs x sin æ dx. sin*(x) X + C

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