Trigonometry Examples

$2 \sin (\frac{7 π}{12}) \cos (\frac{7 π}{12})$

Step 1

Apply the sine double-angle identity.

$\sin (2 \frac{7 π}{12})$

Step 2

Cancel the common factor of $2$ .

Tap for more steps...

Step 2.1

Factor $2$ out of $12$ .

$\sin (2 \frac{7 π}{2 (6)})$

Step 2.2

Cancel the common factor.

$\sin (2 \frac{7 π}{2 \cdot 6})$

Step 2.3

Rewrite the expression.

$\sin (\frac{7 π}{6})$

Step 3

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 4

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

$- \frac{1}{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$- \frac{1}{2}$

Decimal Form:

$- 0.5$