Question

Given that t is in quadrant II and sin(t)=(7/25), how do you find the exact values of cos(t), tan(t), cot(t), sec(t), and csc(t)?

Answer 1

Find values of trig functions

Explanation:

`sin t = 7/25` --> `cos^2 t = 1 - sin^2 t = 1 - 49/625 = 576/25`.
`cos t = - 24/25` (cos t is negative because t is in Quadrant II).
`tan t = sin/(cos) = (7/25)(-25/24) = -7/24`
`cot t = 1/(tan) = - 24/7`
`sec t = 1/(cos) = - 25/24`
`csc t = 1/(sin) = 25/7`