Question

If `tan θ = 8/15` then cosec θ = ?

Options

• `15/17`

• `17/15`

• `17/8`

• `8/17`

Answer 1

`bb(17/8)`

Explanation:

`tan θ = (BC)/(AB) = 8/15`.

Let BC = 8k and AB = 15k.

Then, AC² = AB² + BC² 

= (225k² + 64k²) 

= 289k²

∴ `AC = sqrt(289k^2)`

= 17k

∴ cosec θ = `(AC)/(BC)`

= `(17k)/(8k)`

= `17/8`