1) Sin2x = Cosx , 0 <= x <= π
2) tan 2x = 0 , -2 π <= x <= π
2) tan 2x = 0 , -2 π <= x <= π
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1) sin2x is equal to 2sinxcosx.
So: 2sinxcosx=cosx
Divide both sides by cos x and you have: 2sinx=1
Rearrange to find x: sinx=1/2
So: x = 0.524 radians
Find other answers using the Sine graph. The other positive answer is π - 0.524 = 2.16 radians
So x = 0.524, 2.16
So: 2sinxcosx=cosx
Divide both sides by cos x and you have: 2sinx=1
Rearrange to find x: sinx=1/2
So: x = 0.524 radians
Find other answers using the Sine graph. The other positive answer is π - 0.524 = 2.16 radians
So x = 0.524, 2.16