Question

find the value of tan-1(1/sqrt3) express your answer in radians

Answer 1

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

Answer 2

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

Answer 3

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

Answer 4

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

Answer 5

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
\[\sqrt{3}\]

Answer 6

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

Answer 7

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

Answer 8

Graph y=2cos(theta+pi/3)

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