Question

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

Answer 1

Answer:

Option A $sin(A)=\frac{9}{15}$

Step-by-step explanation:

we know that

$tan(A)=sin(A)/cos(A)$

Solve for sin(A)

$sin(A)=tan(A)cos(A)$

we have

$tan(A)=\frac{9}{12}$

$cos(A)=\frac{12}{15}$

substitute

$sin(A)=\frac{9}{12}(\frac{12}{15})$

$sin(A)=\frac{9}{15}$