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)

$$\eqalign{ & \sin \theta - \cos \theta = 0 \cr & \sin \theta = \cos \theta \cr & \theta = {45^ \circ } \cr & {\text{Then,}} \cr & sec\theta + {\text{cosec}}\theta \cr & = \sqrt 2 + \sqrt 2 \cr & = 2\sqrt 2 \cr} $$