Trigonometry Examples

$2 \sin (\frac{π}{2}) \cos (\frac{π}{2})$

Step 1

Apply the sine double-angle identity.

$\sin (2 \frac{π}{2})$

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Cancel the common factor.

$\sin (2 \frac{π}{2})$

Step 2.2

Rewrite the expression.

$\sin (π)$

Step 3

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

$\sin (0)$

Step 4

The exact value of $\sin (0)$ is $0$ .

$0$