If sinθ = −0.5603, determine all values of θ, to the nearest degree if 0°  θ  360°

Answer 1

Given sin θ = -0.5603, there will be answers in quadrants III and IV where y is negative. Do the inverse sine function (in DEGREES mode), θ = sin^-1 (-0.5603) = -34, so add 360° for quadrant IV, -34 + 360 = 326°. If you visualize the circle, the other angle will be 180° + 34 = 214°.