How do I solve 2 csc (z+pi/4)=5 for 0<=z<=6 radians?

1 Answer
Sep 29, 2015

Solve 2csc (x + pi/4) = 5

Ans: - 21,42 and 111.42

Explanation:

csc (x + pi/4) = 1/(sin (x + pi/4)) = 5/2
sin (x + pi/4) = 2/5 = 0.4
a. (x + pi/4) = (x + 45) = 23.58 deg --> x = 23.58 - 45 = - 21.42 deg
b. x + 45 = 180 - 23.58 = 156.42 --> x = 156.42 - 45 = 111.42 deg