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

Correct option is C

Given:

tan(t) = 1/3

Formula Used:

​$$tan\theta=\frac{Perpendicular}{Base}$$​​

​$$sec\theta = \frac {Hypotenuse}{Base}$$​​

Pythagoras Theorem, $$h^2=p^2+b^2$$​​

Solution:

As per the given term,

Perpendicular = 1

Base = 3

​$$h^2=1^2+3^2=1+9=10$$​​

Hypotenuse, $$h=\sqrt {10}$$​​

sec(t) = $$\frac {\sqrt{10}}{3}$$​​