The problem is:
v(t) = 5 sin (1000t +30 degrees)
u(t) = 12 cos (1000t + 30 degrees)
solve for v(t) + u(t).
The 12 cos (1000t + 30) was converted to 12 sin (1000t - 60 degrees)
I converted to polar notation and converted using Euler's equation. The two functions were then summed to form:
10.33 + j7.9
The magnitude was calculated using Pythagorean's theorem, and was 13.
When I tried to calculate the angle using atan(7.9 / 10.33), I arrived at an angle of 37.4 degrees. The answer key indicates that it should have been 97.4 degrees.
Can anyone tell me where I went wrong?