Question

How do you determine all trigonometric ratios given cotθ=11/7?

Answer 1

Find 6 trig functions knowing `cot x = 11/7`

Explanation:

`cot x = 11/7` --> `tan x = 7/11.`
hypotenuse: `h^2 = 7^2 + 11^2 = 49 + 121 = 170` --> `h = 13.04.`
`sin x = 7/h = 7/13.04 = 0.54`
`cos x = 11/h = 11/13.04 = 0.84`
`sec x = 1/(cos) = 1.86`
`csc x = 1/(sin) = 1.19`