# Find exact value of cosecant function

1. Oct 3, 2011

### 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?

Last edited: Oct 3, 2011
2. Oct 3, 2011

### SammyS

Staff Emeritus
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.

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

3. Oct 3, 2011

### veganazi

Haha, duh! Thanks.

Last edited: Oct 3, 2011
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