Trigonometric Equations 3

Solve 2 sin x – sin x cos x = 0 for
-π< x <π. 

Solution: -3π/4, 0, π/4

sin x( sin x – cos x ) = 0

sin x = 0        or      sin x – cos x = 0

sin x = 0                 sin x = cos x

x=0                         sin x/ cos x = 1            

                               tan x = 1

                               basic ∠, a = π/4

                               x is in the 1st or 3rd quadrant

                               x = π/4 or   x = -3π/4

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