PT sin3x-sinx÷cosx-cos3x=cot2x
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Step-by-step explanation:
sin3x-sinx/cosx-cos3x
=[2cos(3x+x/2)sin(3x-x/2)]/ [-2sin(x+3x/2)sin(x-3x/2)]
=[2cos2xsinx]/[-2sin2xsin(-x)]
=(2cos2x sinx)/(2sin2x sinx)
=cos2x/sin2x
=cot2x
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