The value of $$\left( {\frac{{\sin \theta + \sin \phi }}{{\cos \theta + \cos \phi }} + \frac{{\cos \theta - \cos \phi }}{{\sin\theta - \sin\phi }}} \right)$$ is?
A. 1
B. 2
C. $$\frac{1}{2}$$
D. 0
Answer: Option D
Solution(By Examveda Team)
$$\eqalign{ & \left( {\frac{{\sin \theta + \sin \phi }}{{\cos \theta + \cos \phi }} + \frac{{\cos \theta \cos \phi }}{{\sin\theta - \sin\phi }}} \right) \cr & {\text{Put }}\theta = {90^ \circ } \cr & \phi = {0^ \circ } \cr & \therefore \left( {\frac{{\sin90^ \circ + \sin0^ \circ }}{{\cos90^ \circ + \cos0^ \circ }} + \frac{{\cos90^ \circ - \cos0^ \circ }}{{\sin90^ \circ - \sin0^ \circ }}} \right) \cr & \Rightarrow \left( {\frac{{1 + 0}}{{0 + 1}} + \frac{{0 - 1}}{{1 - 0}}} \right) \cr & \Rightarrow \left( {1 - 1} \right) \cr & \Rightarrow 0 \cr} $$Related Questions on Trigonometry
A. x = -y
B. x > y
C. x = y
D. x < y
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