Question

An acute angle θ is in a right triangle with cos θ = five sixths. What is the value of sec θ?

Answer 1

since secθ = 1/cosθ

then secθ of cos(5/6) would be 1 / 5/6 = 6/5

Answer 2

Answer:

$\frac{6}{5}$

Step-by-step explanation:

Given : $Cos \theta = \frac{5}{6}$

To Find : $Sec \theta$

Solution:

Property : $sec\theta = \frac{1}{cos\theta}$

So, $Cos \theta = \frac{5}{6}$

So, Using property

$sec\theta = \frac{1}{\frac{5}{6}}$

$sec\theta = \frac{6}{5}$

Hence the value of sec θ is $\frac{6}{5}$