Question

If sin theta = -15/17 and theta is in the fourth quadrant, what is sec theta?

Answer 1

`17/8`

Explanation:

Use the trig identity: `cos^2 x = 1 - sin^2 x`
`cos ^2 t = 1 - sin^2 t = 1 - 225/278 = 64/278`
`cos t = 8/17` (in Quadrant 4, cos x is positive)
`sec t = 1/(cos t) = 17/8`