If sec θ is 5/4 then, what is the value of cos θ?

In a right-angled triangle, the secant of an angle is the ratio of the length of the hypotenuse to the length of the base.

Answer: If sec θ is 5/4 then the value of cos θ is 4/5

Explanation: 

From the given data, sec θ = 5 / 4

We have to find the value of cos θ.

According to the trigonometric formula, we know that cos θ = 1 / sec θ

On substituting the value of sec θ in the above equation, we get

cos θ = 1 / sec θ

= 1 / (5 / 4)

=  4 / 5

Hence,If sec θ is 5/4 then, the value of cos θ is 4/5.