What is the value of sec (t), if tan (t) = 1/3 ? - SSC STUDY

What is the value of sec (t), if tan (t) = $\frac{1}{3}$ ?

Options
a) $\frac{ \sqrt3}{3}$
b) $\frac{2 \sqrt2}{3}$
c) $\frac{ \sqrt10}{3}$
d) $\frac{ \sqrt10}{9}$

Solution

As per question

tan Q = $\frac {BC}{AC} = \frac 13$
(AB)² = (AC)²+ (BC)²
(AB)² = (3)² + (1)²
(AB)² = 9 + 1 = 10
AB = $\sqrt 10$
sec (t) = $\frac {BC}{AC} = \frac { \sqrt 10}{3}$

Ans is ) $\frac { \sqrt 10}{3}$