You can put this solution on YOUR website! sin(x)*cos2(x) = sin(x)
We'll start by subtracting sin(x) from each side:
sin(x)*cos2(x) - sin(x) = 0
And then factor out sin(x):
sin(x)*(cos2(x) - 1) = 0
The expression inside the parentheses is not 1 - cos2(x) but it is the negative of 1 - cos2(x). So the expression inside the parentheses is -1 -sin2(x):
sin(x)(-sin2(x)) = 0
or
-sin3(x) = 0
So the solution will be all x values whose sin is zero. If you know your special values then you know that sin is zero for 0 and radians or any of the angles coterminal with these. So:
x = 0 + 2n
or
x = + 2n
where "n" is any integer. (The "n" is the way we use to include the angle coterminal with 0 and radians.)
Note: If you don't know what a radian is and/or if you wanted an answer in degrees, then change the to 180 and the 2 to 360.
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