Chapter 6, Problem 15STP

To determine

To calculate:

Measure of $\tan \left(u/2\right)$ .

Answer to Problem 15STP

Measure of $\tan \left(u/2\right)$ is $\frac{3}{11}$ , that means Option (B) is correct.

Explanation of Solution

Given information:

1. $\frac{3}{130}$
2. $\frac{3}{11}$
3. $\frac{6}{11}$
4. $\frac{130}{3}$

Calculation:

Consider the given figure,

  

Need to find out $\tan \left(u/2\right)$

Trigonometric ratios Formula for $\tan \left(u/2\right)$ ,

  $\begin{array}{l}\tan \left(u\right)=\frac{Opp.side}{adj.side}\\ \tan \left(u\right)=\frac{33}{56}\\ \tan \left(u\right)=0.58\end{array}$

For $\tan \left(u/2\right)$ ,

  $\tan \left(u/2\right)=\frac{0.58}{2}=0.2945=\frac{3}{11}$

Therefore, measure of $\tan \left(u/2\right)$ is $\frac{3}{11}$ , that means Option (B) is correct.