Two sides of a right triangle ABC (C is the right angle) are given. Find the indicated trigonometric function of the given
angle. Give exact answers with rational denominators.
-Find $\tan \mathrm { A }$ when $\mathrm { a } = 2$ and $\mathrm { b } = 9$.
A) $\frac { \sqrt { 85 } } { 9 }$
B) $\frac { \sqrt { 85 } } { 2 }$
C) $\frac { 2 } { 9 }$
D) $\frac { 9 } { 2 }$

Question

Quizplus · Accepted Answer

In a right triangle, $\tan A = \frac{\text{opposite}}{\text{adjacent}}$. Here, side $a = 2$ is opposite angle A, and side $b = 9$ is adjacent to angle A, so $\tan A = \frac{2}{9}$.

Two Sides of a Right Triangle ABC (C Is the Right