Question

triangle trigonometry. what is the reciprocal of tan b in the triangle? tan c, tan a, tan^2 c

Explanation:

Step1: Recall tangent formula

In a right - triangle, $\tan B=\frac{AC}{BC}$ (opposite/adjacent with respect to angle $B$).

Step2: Find the reciprocal

The reciprocal of $\tan B$ is $\frac{BC}{AC}$. And $\tan C=\frac{BC}{AC}$ (opposite/adjacent with respect to angle $C$).

Answer:

$\tan C$