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

Given: cosec θ = √10

We know that,

Let,

AB = 1k and AC = k√10

where, k is any positive integer.

In right angled ∆ABC, we have

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

⇒ (1k )²+ (BC)² = (k√10)²

⇒ (BC)² = 10k² – k²

⇒ (BC)² = 9k²

⇒ BC = √9k²

⇒ BC =±3k [taking positive square root since, side cannot be negative]

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

We, know that