Find the Exact Value cot((3pi)/2)+sin((3pi)/2)

$\cot (\frac{3 π}{2}) + \sin (\frac{3 π}{2})$

Step 1

Simplify each term.

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

$- \cot (\frac{π}{2}) + \sin (\frac{3 π}{2})$

The exact value of $\cot (\frac{π}{2})$ is $0$ .

$- 0 + \sin (\frac{3 π}{2})$

Multiply $- 1$ by $0$ .

$0 + \sin (\frac{3 π}{2})$

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

$0 - \sin (\frac{π}{2})$

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

$0 - 1 \cdot 1$

Multiply $- 1$ by $1$ .

$0 - 1$

Step 2

Subtract $1$ from $0$ .

$- 1$

Find the Exact Value cot((3pi)/2)+sin((3pi)/2)

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