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 ((19\pi)/(12))`
`\pi=180\text{ degre}es`

So:

`\begin{gathered} \tan ((19*180)/(12)) \\ =\tan ((3420)/(12)) \\ =\tan (285) \\ =-3.732 \end{gathered}`

Check the value for all opction.

(a)

`\begin{gathered} =\frac{3+\sqrt[]{3}}{-3+\sqrt[]{3}} \\ =(3+1.73205)/(-3+1.73205) \\ =-3.732 \end{gathered}`

So the first opction is equal to -3.732