Precalculus Examples

$\sin (- 1485)$

Step 1

The supplement of $\sin (- 1485)$ is the angle that when added to $\sin (- 1485)$ forms a straight angle ( $180 °$ ).

$180 ° - \sin (- 1485)$

Step 2

Simplify each term.

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Step 2.1

Add full rotations of $360$ ° until the angle is between $0$ ° and $360$ °.

Step 2.2

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 fourth quadrant.

Step 2.3

The exact value of $\sin (45)$ is $\frac{\sqrt{2}}{2}$ .

$180 + \frac{\sqrt{2}}{2 °}$

Step 2.4

Multiply $- - \frac{\sqrt{2}}{2}$ .

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Step 2.4.1

Multiply $- 1$ by $- 1$ .

Step 2.4.2

Multiply $\frac{\sqrt{2}}{2}$ by $1$ .

$180 + \frac{\sqrt{2}}{2 °}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$180 + \frac{\sqrt{2}}{2 °}$

Decimal Form:

$180.70710678 \dots$