Trigonometry Examples

$- 5 \sin (- \frac{5 π}{6})$

Step 1

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

$- 5 \sin (\frac{7 π}{6})$

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.

$- 5 (- \sin (\frac{π}{6}))$

Step 3

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

$- 5 (- \frac{1}{2})$

Step 4

Multiply $- 5 (- \frac{1}{2})$ .

Tap for more steps...

Step 4.1

Multiply $- 1$ by $- 5$ .

$5 (\frac{1}{2})$

Step 4.2

Combine $5$ and $\frac{1}{2}$ .

$\frac{5}{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{2}$

Decimal Form:

$2.5$

Mixed Number Form:

$2 \frac{1}{2}$