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Question
Evaluate the following: tan(78° + θ) + cosec(42° + θ) - cot(12° - θ) - sec(48° - θ)
Solution
tan(78° + θ) + cosec(42° + θ) - cot(12° - θ) - sec(48° - θ)
= tan[90° - (12° - θ)] + cosec[90° - (48° - θ)] - cot(12° - θ) - sec(48° - θ)
= cot(12° - θ) + sec(48° - θ)] - cot(12° - θ) - sec(48° - θ)
= 0.
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