If sec θ = 2, then find the values of other t–ratios of angle θ.

Given: sec θ = 2

We know that,

Let,

BC = 1k and AC = 2k

where, k is any positive integer.

In right angled ∆ABC, we have

(AB)² + (BC)² = (AC)² [by using Pythagoras theorem]

⇒ (AB)² + (1k)² = (2k )²

⇒ (AB)² + k² = 4k²

⇒ (AB)² = 4k² – k²

⇒ (AB)² = 3k²

⇒ AB = k√3

Now, we have to find the value of other trigonometric ratios.

We, know that