Trigonometry Examples

$\cos (2 \arcsin (\frac{\sqrt{2}}{2}))$

Step 1

The exact value of $\arcsin (\frac{\sqrt{2}}{2})$ is $\frac{π}{4}$ .

$\cos (2 \frac{π}{4})$

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Factor $2$ out of $4$ .

$\cos (2 \frac{π}{2 (2)})$

Step 2.2

Cancel the common factor.

$\cos (2 \frac{π}{2 \cdot 2})$

Step 2.3

Rewrite the expression.

$\cos (\frac{π}{2})$

Step 3

The exact value of $\cos (\frac{π}{2})$ is $0$ .

$0$