Question

In triangle ABC below, which trigonometric ratio equals 3/2?

A) sin B

B) tan B

C) tan C

D) sin C

Answer 1

The answer is the option C

`tan(C)=(3)/(2)`

Explanation:

see the attached figure to better understand the problem

In the right triangle of the figure

`tan(C)=(AB)/(AC)`

we have that

`AB=3\ units` -----> opposite side angle C

`AC=2\ units` ------> adjacent side angle C

substitute

`tan(C)=(3)/(2)`

Answer 2

The figure is right triangle with base =segment AB = 3 and height = segment AC = 2.

The angle B has tangent, tan (B) = 2 / 3

The angle C, has tangent, tan (C) = 3 / 2

Then, the answer is option C, tan C