Trigonometry Examples

cos (675)

$\cos (675)$

Step 1

Remove full rotations of

360

$360$ ° until the angle is between

0

$0$ ° and

360

$360$ °.

cos (315)

$\cos (315)$

Step 2

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

cos (45)

$\cos (45)$

Step 3

The exact value of

cos (45)

$\cos (45)$ is

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

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

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

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

Step 4

The result can be shown in multiple forms.

Exact Form:

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

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

Decimal Form:

0.70710678 \dots

$0.70710678 \dots$