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3 years ago

If tano =

Mathematics

1 answer:

Sati [7]3 years ago

6 0

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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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