Matematika Sekolah Menengah Atas buktikan identisas trigonometri ( cosec @ -cot @ ) (1 + cos @) =sin @bantu kk ​

rowlandlynchulv – April 11, 2023

buktikan identisas trigonometri ( cosec @ -cot @ ) (1 + cos @) =sin @





bantu kk ​

Jawaban:

[tex]( \csc \alpha - \cot \alpha)(1 + \cos \alpha )[/tex]

[tex] = ( \frac{1}{ \sin\alpha } - \frac{ \cos\alpha }{ \sin \alpha } )(1 + \cos\alpha ) [/tex]

[tex] = \frac{1 - \cos\alpha }{ \sin \alpha } (1 + \cos \alpha)[/tex]

[tex]= \frac{(1 - \cos\alpha)(1 + \cos \alpha) }{ \sin \alpha }[/tex]

[tex]= \frac{1 - \cos^{2} \alpha }{ \sin \alpha }[/tex]

[tex] = \frac{ \sin ^{2} \alpha }{ \sin\alpha } [/tex]

[tex] = \sin\alpha [/tex]

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