The value of (cosec a - sin a)(sec a - cos a)(tan a + cot a) is?
A. 4
B. 6
C. 2
D. 1
Answer: Option D
Solution(By Examveda Team)
(cosec a - sin a) (sec a - cos a) (tan a + cot a)Put a = 45°
⇒ (cosec45° - sin45°) (sec45° - cos45°) (tan45° + cot45°)
$$\eqalign{ & \Rightarrow \left( {\sqrt 2 - \frac{1}{{\sqrt 2 }}} \right)\left( {\sqrt 2 - \frac{1}{{\sqrt 2 }}} \right)\left( {1 + 1} \right) \cr & \Rightarrow \frac{1}{{\sqrt 2 }} \times \frac{1}{{\sqrt 2 }} \times 2 \cr & \Rightarrow \frac{1}{2} \times 2 \cr & \Rightarrow 1 \cr} $$
Related Questions on Trigonometry
A. x = -y
B. x > y
C. x = y
D. x < y
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