Trigonometry Examples

$\arcsin (\sin (3 π))$

Step 1

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

$\arcsin (\sin (π))$

Step 2

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

$\arcsin (\sin (0))$

Step 3

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

$\arcsin (0)$

Step 4

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

$0$