Please type this as 2(sin 2x)^2=2 <span>2sin^2 2x=2 is confusing.
Reducing this expression: (sin 2x)^2 = 1
Taking the sqrt of both sides, sin 2x = plus or minus 1
If sin 2x = 1, then 2x must be pi/2 or 3pi/2, and so x must be pi/4 or 3pi/4.
Now you do this for sin 2x = -1.</span>
You are right about the domain.
Step-by-step explanation:

Answer:
<6
Step-by-step explanation:
Corresponding angles have the same matching corner when a transversal line crosses tow straight lines.
Thus, in the diagram given, the angle that has the same matching corner with <2 is the angle that corresponds to <2.
<6 has the same matching corner with <2.
Therefore, <6 corresponds with <2
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