Find the Exact Value cos(315 degrees )

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Trigonometry

$\cos (315 °)$

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

$\cos (45)$

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

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

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$0.70710678 \dots$

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