Question

If `cot θ = 12/5`, then the value of sin θ is ______.

Answer 1

If `cot θ = 12/5`, then the value of sin θ is `underlinebb(5/13)`.

Explanation:

Given, `cot θ = 12/5`

∴ `tan θ = 5/12`

In ΔABC, AC² = AB² + BC²

= (5k)² + (12k)²

= 25k² + 144k²

= 169k²

∴ AC = 13k

So, `sin θ = (5k)/(13k) = 5/13`

Where, k ≠ 0