Trigonometry Examples

$\cos^{2} (\frac{π}{12}) - \sin^{2} (\frac{π}{12})$

Step 1

Apply the cosine double-angle identity.

$\cos (2 \frac{π}{12})$

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Factor $2$ out of $12$ .

$\cos (2 \frac{π}{2 (6)})$

Step 2.2

Cancel the common factor.

$\cos (2 \frac{π}{2 \cdot 6})$

Step 2.3

Rewrite the expression.

$\cos (\frac{π}{6})$

Step 3

The exact value of $\cos (\frac{π}{6})$ is $\frac{\sqrt{3}}{2}$ .

$\frac{\sqrt{3}}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{\sqrt{3}}{2}$

Decimal Form:

$0.86602540 \dots$