θ is the positive acute angle and sinθ - cosθ = 0, then the value of secθ + cosecθ is?
A. 2
B. $$\sqrt 2 $$
C. $${\text{2}}\sqrt 2 $$
D. $${\text{3}}\sqrt 2 $$
Answer: Option C
Solution (By Examveda Team)
$$\eqalign{ & \sin \theta - \cos \theta = 0 \cr & \sin \theta = \cos \theta \cr & \theta = {45^ \circ } \cr & {\text{Then,}} \cr & sec\theta + {\text{cosec}}\theta \cr & = \sqrt 2 + \sqrt 2 \cr & = 2\sqrt 2 \cr} $$This Question Belongs to Arithmetic Ability >> Trigonometry
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