Question

How do you find the remaining trigonometric functions of `theta` given `costheta=-20/29` and `theta` terminates in QII?

Answer 1

`cos t = - 20/29`
`sin^2 t = 1 - cos^2 t = 1 - 400/841 = 441/841`
`sin t = 21/29`
(sin t positive because t is in Quadrant 2)
`tan t = sin/(cos) = - 21/20`
`cot = - 20/21`
`sec t = 1/(cos) = - 29/20`
`csc t = 1/(sin) = 29/21`