Question

How do you find the exact values of other 5 trigonometric functions given sin u = -5/13 and cos u>0?

Answer 1

Find values of trig functions

Explanation:

Apply the trig identity: `cos^2 x = 1 - sin^2 x`
`cos^2 u = 1 - sin^2 u = 1 - 25/169 = 144/169`
`cos u = 12/13` (cos u positive)
`tan u = sin/(cos) = -5/12`
`cot u = 1/(tan) = -12/5`
`sec u = 1/(cos) = 13/12`
`csc u = 1/(sin) = - 13/5`