Question

what is tan of 2pi/3
also what is the csc of pi/4
(sorry still a bit confused)

Answer 1

Do you have a unit circle handy on you to help ya out with this?

Answer 2

yes im looking at it. but I lost the one that has all my notes :(

Answer 3

Ah x_x Well, let's start out with knowing that tangent is the same and sin divided by cosine. SO if we want tangent of 2pi/3, we take the sin of 2pi/3 and divide it by the cos 2pi/3. If you can look up those values then we can find out what that is : )

Answer 4

\[\frac{ \sin(\frac{ 2\pi }{ 3 }) }{ \cos (\frac{ 2\pi }{ 3 }) }\]

Answer 5

sin of 2pi/3 is \[\sqrt{3}\div2\]
and the cos is -1/2

Answer 6

Correct. so now divide those 2:

\[\frac{ \frac{ \sqrt{3} }{ 2 } }{ \frac{ -1 }{ 2 } } \]

Answer 7

Or simply:
\[\frac{ \sqrt{3} }{ 2 }*-2 \]

Answer 8

so would it be -sqrt of 6?

Answer 9

Nope. Just cancel out the two on top and bottom in what I have posted above.