Trigonometry Examples

$\sin (150)$

Step 1

Convert the radian measure to degrees.

Tap for more steps...

Step 1.1

To convert radians to degrees, multiply by $\frac{180}{π}$ , since a full circle is $360 °$ or $2 π$ radians.

$(\sin (150)) \cdot \frac{180 °}{π}$

Step 1.2

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

$\sin (30) \cdot \frac{180}{π}$

Step 1.3

The exact value of $\sin (30)$ is $\frac{1}{2}$ .

$\frac{1}{2} \cdot \frac{180}{π}$

Step 1.4

Cancel the common factor of $2$ .

Tap for more steps...

Step 1.4.1

Factor $2$ out of $180$ .

$\frac{1}{2} \cdot \frac{2 (90)}{π}$

Step 1.4.2

Cancel the common factor.

$\frac{1}{2} \cdot \frac{2 \cdot 90}{π}$

Step 1.4.3

Rewrite the expression.

$\frac{90}{π}$

Step 1.5

$π$ is approximately equal to $3.14159265$ .

$\frac{90}{3.14159265}$

Step 1.6

Convert to a decimal.

$28.64788975 °$

Step 2

The angle is in the first quadrant.

Quadrant $1$

Step 3