Question

197Find tanexactly using an angle addition or subtraction formula.12[Hint: This diagram of special trigonometry values may help.)Choose 1 answer:3+3-3+3|--3+33+ 33 - 333-O 3 KOD3 – 33 + 3

Answer 1

Given:

$\tan (\frac{19\pi}{12})$$\pi=180\text{ degre}es$

So:

$\begin{gathered} \tan (\frac{19\times180}{12}) \\ =\tan (\frac{3420}{12}) \\ =\tan (285) \\ =-3.732 \end{gathered}$

Check the value for all opction.

(a)

$\begin{gathered} =\frac{3+\sqrt[]{3}}{-3+\sqrt[]{3}} \\ =\frac{3+1.73205}{-3+1.73205} \\ =-3.732 \end{gathered}$

So the first opction is equal to -3.732