Precalculus Examples

$\arcsin (\frac{\sin (3 π)}{2})$

Step 1

Simplify the numerator.

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Step 1.1

Subtract full rotations of $2 π$ until the angle is greater than or equal to $0$ and less than $2 π$ .

$\arcsin (\frac{\sin (π)}{2})$

Step 1.2

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant.

$\arcsin (\frac{\sin (0)}{2})$

Step 1.3

The exact value of $\sin (0)$ is $0$ .

$\arcsin (\frac{0}{2})$

Step 2

Divide $0$ by $2$ .

$\arcsin (0)$

Step 3

The exact value of $\arcsin (0)$ is $0$ .

$0$