P.S. You only get "complex values" for x:
Solve for x:
75-60 sin(1.5708-(π x)/15) = 30
Subtract 75 from both sides:
-60 sin(1.5708-(π x)/15) = -45
Divide both sides by -60:
sin(1.5708-(π x)/15) = 3/4
Take the inverse sine of both sides:
1.5708-(π x)/15 = π-sin^(-1)(3/4)+2 π n_1 for n_1 element Z
or 1.5708-(π x)/15 = sin^(-1)(3/4)+2 π n_2 for n_2 element Z
Subtract 1.5708 from both sides:
-(π x)/15 = 0.722734+2 π n_1 for n_1 element Z
or 1.5708-(π x)/15 = sin^(-1)(3/4)+2 π n_2 for n_2 element Z
Divide both sides by -π/15:
x = -3.4508-30 n_1 for n_1 element Z
or 1.5708-(π x)/15 = sin^(-1)(3/4)+2 π n_2 for n_2 element Z
Subtract 1.5708 from both sides:
x = -3.4508-30 n_1 for n_1 element Z
or -(π x)/15 = 2 π n_2-0.722734 for n_2 element Z
Divide both sides by -π/15:
Answer: |
| x = -3.4508-30 n_1 for n_1 element Z
or x = 3.4508-30 n_2 for n_2 element Z
