Find exact value of cosecant function

[veganazi]

1. The problem statement, all variables and given/known data

csc^-1((2sqrt3)/3)


2. Relevant equations

csc^-1((2sqrt3)/3) = sin^-1(3/(2sqrt3))


3. The attempt at a solution

My Math Lab says I am supposed to use the equivalent sine function, so then I got sin^-1(3/2sqrt3). Then what do I do?

[SammyS]

1. The problem statement, all variables and given/known data

csc^-1(2sqrt3/3)


2. Relevant equations

csc^-1(2sqrt3/3) = sin^-1(3/2sqrt3)


3. The attempt at a solution

My Math Lab says I am supposed to use the equivalent sine function, so then I got sin^-1(3/2sqrt3). Then what do I do?
Use enough parentheses for this to be correct.

csc^-1(2sqrt3/3) = sin^-1(3/(2sqrt3))

Then rationalize the denominator so you can recognize a well-known value of the sine.

\displaystyle \frac{3}{2\sqrt{3}}=?

[veganazi]

Haha, duh! Thanks.