Question

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

Answer 1

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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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