Question

Data =(type an integer or a decimal. use a comma to separate answers as needed )

Answer 1

From the following picture:

we can find the values for the trigonometric functions for values as 30 and 60 degrees.

For instance, tan 30 is equal to

`\tan 30=\frac{1}{\sqrt[]{3}}`

Since

`\frac{1}{\sqrt[]{3}}=\frac{\sqrt[]{3}}{3}`

then,

`\tan 30=\frac{\sqrt[]{3}}{3}`

However, we have a minus sign, this imply the angle is negative. In other words,

`\tan -30=-\frac{\sqrt[]{3}}{3}`

Now, since -30 = 330, then we have

`\tan 330=-\frac{\sqrt[]{3}}{3}`

so the answer is

`\theta=330\text{ }`