The value cosec(67° + θ) - sec(23° - θ) + cos15°cos35°cosec55°cos60°cosec75° is:

A. $$\frac{1}{2}$$

B. 1

C. 0

D. 2

Answer: Option A

Solution(By Examveda Team)

cosec(67° + θ) - sec(23° - θ) + cos15°cos35°cosec55°cos60°cosec75°
= sec[90° - (67° + θ)] - sec(23° - θ) + sin75°sin55°cosec55°cos60°cosec75°
= sec(23° - θ) - sec(23° - θ) + $$\frac{1}{2}$$
= $$\frac{1}{2}$$