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Question
The value of cosec(70° + θ) – sec(20° − θ) + tan(65° + θ) – cot(25° − θ) is
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Solution
0
Explanation;
Hint:
cosec(70° + θ) – sec(20° – θ) + tan(65° + θ) – cot(25° – θ)
= sec[90° – (70° + θ)] – sec(20° – θ) + tan(65° + θ) – tan[90° – (25° – θ)]
= sec(20° – θ) – sec(20° – θ) + tan(65° + θ) – tan(65° + θ)
= 0
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