SOLUTION: cos x- 5 sin x=0 (x is between 0 and 360 degrees) The answers I got are 0,11.3,180,191.3 and 360 degrees. May i please know why 0, 180 and 360 degrees are invalid?

Algebra ->  Trigonometry-basics -> SOLUTION: cos x- 5 sin x=0 (x is between 0 and 360 degrees) The answers I got are 0,11.3,180,191.3 and 360 degrees. May i please know why 0, 180 and 360 degrees are invalid?       Log On


   

Question 749375: cos x- 5 sin x=0 (x is between 0 and 360 degrees)
The answers I got are 0,11.3,180,191.3 and 360 degrees.
May i please know why 0, 180 and 360 degrees are invalid?
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
cos%280%5Eo%29=cos%28360%5Eo%29=1 and
sin%280%5Eo%29=sin%28360%5Eo%29=0 so
cos%280%5Eo%29-5sin%280%5Eo%29=1-5%2A0=1 and cos%28360%5Eo%29-5sin%28360%5Eo%29=1-5%2A0=1

cos%28180%5Eo%29=-1
sin%28180%5Eo%29=0 so
cos%28180%5Eo%29-5sin%28180%5Eo%29=-1-5%2A0=-1