Answered

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 :

hnori22003

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[tex] \cos( \alpha ) = \frac{5}{13} \\ [/tex]

[tex] \tan( \alpha ) = \frac{12}{5} \\ [/tex]

[tex] \tan( \alpha ) = \frac{ \sin( \alpha ) }{ \cos( \alpha ) } \\ [/tex]

[tex] \frac{12}{5} = \frac{ \sin( \alpha ) }{ \frac{5}{13} } \\ [/tex]

Multiply sides by 5 / 13

[tex] \frac{5}{13} \times \frac{12}{5} = \frac{5}{13} \times \frac{ \sin( \alpha ) }{ \frac{5}{13} } \\ [/tex]

[tex] \frac{5 \times 12}{5 \times 13} = \sin( \alpha ) \\ [/tex]

[tex] \frac{12}{13} = \sin( \alpha ) \\ [/tex]

[tex] \sin( \alpha ) = \frac{12}{13} \\ [/tex]

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