Question

if `cos theta = 4/5` find all other trigonometric ratios of angles θ

Answer 1

Given cos θ = `4/5`

sin²θ + cos²θ = 1

`sin^2theta + (16/25)=1`

`sin^2 theta = 1 - 16/25`

`sin^2 theta = 9/25`

`sin theta = 3/5`

`tan theta = sin theta/cos theta = (3/5)/(4/5)= 3/4`

`cosec theta = 1/sin theta = 5/3`

`sec theta = 1/cos theta = 5/4`

`cot theta = 1/tan theta = 4/3`