Question

Prove that sin2@(1-cos2@)=1

Answer 1

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$given$

[tex]y \: \sin(2 \alpha )(1 - \cos(2 \alpha ) \\ \\ 2 \sin( \alpha ) \cos( \alpha )(1 - (2 { \cos {}^{2} ( \alpha ) } - 1)) \\ \\ i.e. \: \: 2 \sin( \alpha ) \cos( \alpha ) ( - 2\cos {}^{2} \alpha ) \\ \\ therefore.. \: \: \: y \: = \: ( - 4 \sin( \alpha\)

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