Trigonometry Examples

$\frac{7 π}{6}$

Step 1

Take the sine of $\frac{7 π}{6}$ .

$\sin (\frac{7 π}{6})$

Step 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 third quadrant.

$- \sin (\frac{π}{6})$

Step 3

The exact value of $\sin (\frac{π}{6})$ is $\frac{1}{2}$ .

$- \frac{1}{2}$