Trigonometry Examples

\sin (315 °)

$\sin (315 °)$

Step 1

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.

- \sin (45)

$- \sin (45)$

Step 2

The exact value of

\sin (45)

$\sin (45)$ is

\frac{\sqrt{2}}{2}

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

- \frac{\sqrt{2}}{2}

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

Step 3

The result can be shown in multiple forms.

Exact Form:

- \frac{\sqrt{2}}{2}

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

Decimal Form:

- 0.70710678 \dots

$- 0.70710678 \dots$