Find sin ø for o to ø to 2pi?? Need help

Question

Find ø for 0< ø < 2pi

Sinø=0.3011

Answer 1

Sine is positive in Quadrants I and II, since that is where y is positive, so we will find a solution in each of those quadrants.

Make sure your calculator is in radian mode. When we are looking for angles, we need to use inverse trig functions. Here, use sin^-1(0.3011) ≈ 0.306. To find the angle in Quadrant II that has the same sine, we need to take π - 0.3058 ≈ 2.836. So the two solutions between 0 and 2π are about 0.306 and 2.836.