Find exact value of cosecant function

[veganazi]

Homework Statement

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

Homework Equations

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

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]

Homework Statement

csc^-1(2sqrt3/3)

Homework Equations

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

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.