Question

If `cos(t)=4/7` and `t` is in the 4th quadrant, find `sin(t)`?

Answer 1

`sin t = - sqrt33/7`

Explanation:

`sin^2 t = 1 - cos^2 t = 1 - 16/49 = 33/49`
`sin t = +- sqrt33/7`
Since t is in the Quadrant 4, then, sin t is negative -->
`sin t = - sqrt33/7`