The value of $$\frac{{\sin A}}{{\cot A + {\text{cosec}}\,A}} - \frac{{\sin A}}{{\cot A - {\text{cosec}}\,A}} - 1{\text{ is:}}$$
A. $$\frac{1}{2}$$
B. 3
C. 0
D. 2
Answer: Option B
Solution(By Examveda Team)
$$\eqalign{ & \frac{{\sin A}}{{\cot A + {\text{cosec}}\,A}} - \frac{{\sin A}}{{\cot A - {\text{cosec}}\,A}} - 1 \cr & = \sin A\left[ {\frac{{\cot A - {\text{cosec}}\,A - \cot A - {\text{cosec}}\,A}}{{{{\cot }^2}A - {\text{cose}}{{\text{c}}^2}A}}} \right] - 1 \cr & = \frac{{ - 2\sin A.{\text{cosec}}\,A}}{{ - 1}} + 1 \cr & = 2 + 1 \cr & = 3 \cr} $$Related Questions on Trigonometry
A. x = -y
B. x > y
C. x = y
D. x < y
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