If tano = 12\5 and coso 5\13 then what is sin ? 1 OA. 12 OB. 5 13 O c. 5 13 OD. 12 13 O E 12 13

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asked Aug 4, 2021 1.5k views

1 Answer

TheQman · Answer 1 · 2021-08-10T17:00:34+0000

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$\cos( \alpha ) = (5)/(13) \\$

$\tan( \alpha ) = (12)/(5) \\$

$\tan( \alpha ) = ( \sin( \alpha ) )/( \cos( \alpha ) ) \\$

$(12)/(5) = ( \sin( \alpha ) )/( (5)/(13) ) \\$

Multiply sides by 5 / 13

$(5)/(13) * (12)/(5) = (5)/(13) * ( \sin( \alpha ) )/( (5)/(13) ) \\$

$(5 * 12)/(5 * 13) = \sin( \alpha ) \\$

$(12)/(13) = \sin( \alpha ) \\$

$\sin( \alpha ) = (12)/(13) \\$

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