If 0*<theta<360*, find all values of theta, 2sintheta = 5costheta?

1 Answer
Jun 27, 2018

68^@20, 248^@20

Explanation:

2sin theta - 5cos theta = 0
Divide both sides by cos theta
Condition: cos theta != 0, or theta != pi/2, and theta != (3pi)/2
2tan theta = 5
tan theta = 5/2
Calculator and unit circle give 2 solutions for theta:
theta = 68^@20, and
theta = 68.20 + 180 = 248^@20