Question

If tano =

Answer 1

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$\cos( \alpha ) = \frac{5}{13}$

$\tan( \alpha ) = \frac{12}{5}$

$\tan( \alpha ) = \frac{ \sin( \alpha ) }{ \cos( \alpha ) }$

$\frac{12}{5} = \frac{ \sin( \alpha ) }{ \frac{5}{13} }$

Multiply sides by 5 / 13

$\frac{5}{13} \times \frac{12}{5} = \frac{5}{13} \times \frac{ \sin( \alpha ) }{ \frac{5}{13} }$

$\frac{5 \times 12}{5 \times 13} = \sin( \alpha )$

$\frac{12}{13} = \sin( \alpha )$

$\sin( \alpha ) = \frac{12}{13}$

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