Find all solutions to the equation csc x (2 sin x - √2) = 0

[From: ] [author: ] [Date: 12-09-11] [Hit: ]

Find all solutions to the equation csc x (2 sin x - √2) = 0

Please help!! :)

csc(x)(2sin(x) - √2) = 0

csc(x) = 0 (Not possible)

sin(x) = √2/2 => x = pi/4, 3pi/4.

csc(x) = 0 (reject)

sin(x) = √2/2
x = pi/4 + 2k*pi
x = 3pi/4 + 2k*pi where k is any integer

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