Given calculate all other trigonometric ratios.

Given:

We know that,

Let,

BC = 12k and AC = 13k

where, k is any positive integer.

In right angled ∆ABC, we have

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

⇒ (AB)² + (12k)² = (13k )²

⇒ (AB)² + 144k² = 169k²

⇒ (AB)² = 169k² – 144k²

⇒ (AB)² = 25k²

⇒ AB = √25k²

⇒ AB =±5k [taking positive square root since, side cannot be negative]

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

We, know that