(sin A - COS A) ² a 1-2 An A. CoS A
Penjelasan dengan langkah-langkah:
[tex] = {( \sin( \alpha ) - \cos( \alpha ) )}^{2} [/tex]
[tex] = ( \sin( \alpha ) - \cos( \alpha ) )( \sin( \alpha ) - \cos( \alpha ) )[/tex]
[tex] = \sin {}^{2} ( \alpha ) - \sin( \alpha ) \cos( \alpha ) - \sin( \alpha ) \cos( \alpha ) + \cos {}^{2} ( \alpha ) [/tex]
[tex] = \sin {}^{2} ( \alpha ) - 2 \sin( \alpha ) \cos( \alpha ) + \cos {}^{2} ( \alpha ) [/tex]
[tex] = \sin {}^{2} ( \alpha ) + \cos {}^{2} ( \alpha ) - \sin(2 \alpha ) [/tex]
[tex] = 1 - \sin( 2\alpha ) [/tex]
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