Evaluate csc((3pi)/2)

$\csc (\frac{3 π}{2})$

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because cosecant is negative in the fourth quadrant.

$- \csc (\frac{π}{2})$

The exact value of $\csc (\frac{π}{2})$ is $1$ .

$- 1 \cdot 1$

Multiply $- 1$ by $1$ .

$- 1$

Evaluate csc((3pi)/2)

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