Trigonometric Proofs - Test Questions-iii

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Question 31

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Question 32

Question:   Prove that 1 + tan 2q tan q = sec 2q.

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Question 33

Question:   Prove that 1 + cot 2q cot q = cosec 2q cot q.

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Question 34

Question:   Prove that
cos 4A cos A - sin 4A sin A = cos 3A cos 2A - sin 3A sin 2A.

Answer:    LHS = cos (4A + A) = cos 5A

Question 35

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Question 36

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Question 37

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Question 38

Question:   Find tanA when cos 2A = 0.96.

Answer:   

Question 39

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Question 40

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