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Trigonometric identities and equations

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Q1. Prove the identity
cos3t = 4cos^3t- 3cost

Q2. Prove the identity:
(cos3a - cos7a) / (sin7a + sin3a) = tan2a

Q3. Solve the equation, giving answer in radians in the range 0 to 2 pi
sin(2t) -1 = cos(2t)

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Solution Summary

The solution shows hwo to prove two specific trigonometric identities in details.

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Q1. Prove the identity: cos3  4cos^3 - 3cos

Then using the double angle formulas:

So

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