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n a right triangle, the tangent of angle A is 912 and the cosine of angle A is 1215. Based on these values, what is the sine of angle A? A 915 B 1516 C 1115 D 11120

Respuesta :

calculista

Answer:

Option A [tex]sin(A)=\frac{9}{15}[/tex]

Step-by-step explanation:

we know that

[tex]tan(A)=sin(A)/cos(A)[/tex]

Solve for sin(A)

[tex]sin(A)=tan(A)cos(A)[/tex]

we have

[tex]tan(A)=\frac{9}{12}[/tex]

[tex]cos(A)=\frac{12}{15}[/tex]

substitute

[tex]sin(A)=\frac{9}{12}(\frac{12}{15})[/tex]

[tex]sin(A)=\frac{9}{15}[/tex]

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