Question

If `sin θ = 5/13`, then cot θ is equal to ______.

Options

• `5/12`

• `12/5`

• `12/13`

• `13/12`

Answer 1

If `sin θ = 5/13`, then cot θ is equal to `underlinebb(12/5)`.

Explanation:

`sin θ = "Opposite"/"Hypotenuse"`

= `5/13` 

So, Take opposite = 5 and hypotenuse = 13. 

The adjacent side = `sqrt(13^2 - 5^2)`

= `sqrt(169 - 25)`

= 12

cot θ = `"Adjacent"/"Opposite"`

= `12/5`