Use  DeMoivre’s theorem  ( Cos(x) + jSin(x))n = Cos(nx) + jSin(nx) to show that Sin3θ=3sinθ- 4 sin3θ

Q: Show that sin?(0) [1+ cot²(8)] = 1

A: Solve the given

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A: To find the general solution for the equation 1+sin⁡(2x)=sin⁡(x), it can use trigonometric…

Q: Prove that sin(x + y) sin(x − y) = sin²x − sin²y. -

A: Formula's

Q: Use  DeMoivre’s theorem  ( Cos(x) + jSin(x))n = Cos(nx) + jSin(nx) to show that Sin3θ=3sinθ- 4…

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Q: Show how sin(2) can be calculated using the fact that sin(7) 2

A: Recall: sinπ-θ=sin θ Given,  sinπ3=32

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A: Given: To prove that sin(π2-x)=cos x

Q: (sin 5x + cos 5x)

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Q: 256 cos(85 x) cos(32 x) cos(4x) dx = 64 cos(49 x) + cos(57 x) + cos(113 x) + cos(121 x) 64 cos(49 x)…

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Q: Show that sin(sin-1 v + cos-1 v) = 1.

A: sinsin-1v+cos-1v=1

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Q: If A A = = 3e³t sin(8t) 3e³t cos(8t) 3e²t cos(8t) -3e²¹ sin(8t) then

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Q: O Find the anfidanialtiner Sfaw da for fla)= 18 Cos (6x) 16- Sin? (6x) © fa) = ¿* (, +x) 9 + xe

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Q: 1 E valuate [ (x' + cos(3x)) dx sin (3x) a) b)

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Q: Does cos (π/2 - x) = cos (x - π/2)? Explain with examples

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Q: Show that the equation 2x + cos(x) = 1 has exactly one root. (IVT and Rolle's Theorem)

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Q: 1) y = sin(1 – x²) 2) y = tan 'Vx² + 2x 3) y = tan1 Vt²-1 + csc 1t

A: Given the trigonometric function

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

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Q: (i) Prove that sec 3x(sin 3x-2sin' 3x)= tan 3xcos 6x. (ii) Hence find, for 0s.xs, the values of x in…

A: Trigonometric equation

Q: Prove sin(x+y)cos(x-y) = sinx/secx + cosy/cscy

A: I hope this can help you.

Q: verify sin2(x)+cos2(x)=1

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Q: 4. sin 2x cos 2x dx

A: Here we integrate the given function.

Q: Q1/A/ Sketch 7 + 4 sin 0 + 3 cose

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Q: Can you express cos(7x) in terms of powers of cos(7x) Start from: cos(7x) = cos(7x) + i * sin(7x)

A: Note:There is a typo error in the question, it should be powers of cos(x) not cos(7x).Given…

Q: prove that sin⁴x - sin²3x+sinx-3 = 0 has no solution.

A: prove that sin⁴x - sin²3x+sinx-3 = 0 has no solution.

Q: Making this substitution using [₁ gives us 10 sin²(x) cos³(x) dx 10 10 sin²(x) (1 - sin²(x)) cos(x)…

A: To evaluate the following integral. ∫10 sin2x cos3x dx Note: After seeing the previous solution, we…

Q: (b) cos³ (2t) sin¯4 (2t) dt

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