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

1 Answer
Nghi N.
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

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