Question 863144
Find all values of x in the interval [0, 2&#960;] that satisfy the given equation. (Enter your answers as a comma-separated list.)
&#8722; sin 2x = sqrt(2)sin(x)
-2sixcosx=&#8730;2sinx
divide both sides by sinx
-2cosx=&#8730;2
cosx=-&#8730;2/2
x=3&#960;/4, 5&#960;/4 (in quadrants II and III in which cos<0)