Question

3 parts: List the ratios for using angle A as the angle of reference reduce when necessary

Answer 1

Answer:

$\sin{A}=21/29\\\cos{A}=20/29\\\tan{A}=21/20$

Step-by-step explanation:

The sine of an angle in a right triangle is the ratio of the side across from the angle with the hypotenuse of the triangle (the hypotenuse is the side across from the right angle). In this case, the sine of angle A, shortened to $\sin{A}$, is $21/29$.

Cosine is short for "complementary sine." If the angles A + C = 90, the cosine of A is equal to the sine of C, since A and C are complementary. So $\cos{A}=\sin{C}=20/29$. Notice that this ratio is the same as the ratio of the side adjacent to angle A (AB), to the hypotenuse.

The tangent is the ratio of the side opposite an angle to the side adjacent to it. Here, $\tan{A}=21/20$. So, our trig ratios for this angle are

$\sin{A}=21/29\\\cos{A}=20/29\\\tan{A}=21/20$