Evaluate 3 cos80° cosec10°+ 2 cos59° cosec31° - Vidyadip

Question

Evaluate
3 cos80° cosec10°+ 2 cos59° cosec31°

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Answer

3 cos80° cosec10°+ 2 cos59° cosec31°
= 3 cos(90° - 10°) cosec10° + 2 cos(90° - 31°) cosec31°
= 3 sin10° cosec10° + 2 sin31° cosec31°
= 3 + 2 = 5

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