1. jagatuba

$-\frac{\tan(1)}{\sqrt(3)} radians$

2. anonymous

your job is to find a number (angle ) in the interval $[-\frac{\pi}{2},\frac{\pi}{2}]$ whose tangent is $\frac{1}{\sqrt{3}}$

3. anonymous

think about where sine and cosine have values that involve $\sqrt{3}$ and make sure that $\frac{\sin(x)}{\cos(x)}=\frac{1}{\sqrt{3}}$

4. anonymous

could you guys also help me graph the function y=2cos(theta+pi/3) ?

5. anonymous

there are really only two places to look. it is either $\frac{\pi}{6}$ or $\frac{\pi}{3}$ because they are the only ones that involve $\sqrt{3}$

6. anonymous

looks just like cosine, but shifted left $\frac{\pi}{3}$ units, and goes from -3 to 3 instead of from -1 to 1

7. anonymous

here is a nice picture http://www.wolframalpha.com/input/?i=3cos%28x%2Bpi%2F3%29

8. jagatuba

Graph y=2cos(theta+pi/3) http://www.wolframalpha.com/input/?i=graph+y%3D2cos%28theta%2Bpi%2F3%29