Evaluate the value of (cosec56° cos34° – cos59° cosec31°).
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Correct answer: D
Explanation
The correct answer is Option 4 i.e. 0.
We know that,
cos(90° - θ) = sinθ, and cosecθ = 1/sinθ
⇒ (cosec56° cos34° – cos59° cosec31°)
here, 56° + 34° = 90°, and 59° + 31° = 90°
⇒ (1/sin56° cos(90° - 34°) – cos(90° - 59°) 1/sin31°)
⇒ (1/sin56° sin56° – sin31° 1/sin31°)
⇒ 1 - 1 = 0