Find the measure of feta, to the nearest degree where o degrees is less than feta which is less than 360 degrees.

Question

6 sin feta = -1

I really don't get how to solve, I hate algebra, and I feel that it's gonna be getting used in this question.

Answer 1

If you hate algebra, you're in for some bad times in trig!

6 sin feta = -1
sin feta = -1/6

Now, sin feta = y/h where h is the hypotenuse of a right triangle with base on the x-axis. h is always positive, so y must be negative.

That makes the angle in the 3rd or 4th quadrant.

Arcsin(1/6) = 9.6 deg

So, you will need to use 180+9.6 or 360-9.6

feta = 189.6 or 150.4 degrees.

While you can use whatever names you want for your angles, theta, a Greek letter is a more common name.