Question 2. Use De Moivre's Theorem to show that 8 cos* 0 – 8 cos² 0 + 1 and 4 cos 0 (sin 0 – 2 sin 0) . cos 40 sin 40 1 Compute tan 40 with 0 given in the triangle:

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A: Also given that sinθ<0, this means sinθ is negative. So, cotθ=cosθ/sinθ means cosθ also have to…

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A: Hey, since there are multiple questions posted, we will answer the first question. If you want any…

Q: 3 Prove the identity: sin30 = sin® –sin30 using De Moivre's theorem.

A: To prove the given identity ,we have to use De Moivre's identity.

Q: 5) Given cose = 1/2, determine cos $2 a) H H

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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A: Let's find.

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A: a) Given:        2sin2θ+5sinθ-3=0 Let sinθ=x then 2x2+5x-3=0 This is in the form of quadratic…

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Q: Show sin 3A = 3 sin A cos²A - sin A.

A: Explanation: Given that: sin3A=3sinAcos2A-sinA Concept: sin3A=3sinA-4sin3A sin2A+cos2A=1

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A: We need to prove the identity: cos3θ=cos3θ-3cosθsin2θ. cosθ+isinθn=cosnθ+isinnθ for n∈ℤ   We know…

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Q: 18) fin

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Q: Find the exact values of sin ø 17 - 9) sec 8= 15 and sin 0 <0

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