Trigonometry Examples

$\frac{\sin (3 π)}{4}$

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

$2 π$ .

$\frac{\sin (π)}{4}$

Step 1.2

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

$\frac{\sin (0)}{4}$

Step 1.3

The exact value of

$\sin (0)$ is

$0$ .

$\frac{0}{4}$

Step 2

Divide

$0$ by

$4$ .

$0$