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Question
Evaluate:
3 cos 80° cosec 10° + 2 cos 59° cosec 31°
Solution
3 cos 80° cosec 10° + 2 cos 59° cosec 31°
= 3 cos (90° – 10°) cosec 10° + 2 cos (90° – 31°) cosec 31°
= 3 sin 10° cosec 10° + 2 sin 31° cosec 31°
= 3 + 2
= 5
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