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The value cosec(67° + θ) - sec(23° - θ) + cos15°cos35°cosec55°cos60°cosec75° is:
Answer & Solution
Correct Answer:
Option
A
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) + $$\frac{1}{2}$$
= $$\frac{1}{2}$$
= sec[90° - (67° + θ)] - sec(23° - θ) + sin75°sin55°cosec55°cos60°cosec75°
= sec(23° - θ) - sec(23° - θ) + $$\frac{1}{2}$$
= $$\frac{1}{2}$$
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