If $$\frac{{\cos \theta }}{{1 - \sin \theta }}$$ + $$\frac{{\cos \theta }}{{1 + {\text{sin }}\theta }}$$ = 4, then the value of $$\theta \left( {{0^ \circ } < \theta < {{90}^ \circ }} \right)$$ is?
A. 60°
B. 45°
C. 30°
D. 35°
Answer: Option A
Solution(By Examveda Team)
$$\eqalign{ & \Rightarrow \frac{{\cos \theta }}{{1 - \sin \theta }} + \frac{{\cos \theta }}{{1 + \sin \theta }} = 4 \cr & \Rightarrow \cos \theta \left( {\frac{{1 + \sin \theta + 1 - \sin \theta }}{{1 - {{\sin }^2}\theta }}} \right) = 4 \cr & \Rightarrow \cos \theta \left( {\frac{2}{{{\text{co}}{{\text{s}}^2}\theta }}} \right) = 4 \cr & \Rightarrow \cos \theta = \frac{1}{2} \cr & \Rightarrow \theta = {60^ \circ } \cr} $$Related Questions on Trigonometry
A. x = -y
B. x > y
C. x = y
D. x < y
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