Question

How do you use a graphing utility to approximate the solutions of `6sin^2x-7sinx+2=0` in the interval `[0,2pi)`?

Answer 1

See below.

Explanation:

If you graph `y=6sin^2x-7sinx+2`, where the curve cuts the x axis or turns at the axis will be the solutions to `6sin^2x-7sinx+2=0`.

These are `x ~~` `0.524 , 0.730 , 2.412 , 2.618`

Graph of `y=6sin^2x-7sinx+2`