Trigonometry Examples

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

Step 1

Simplify each term.

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Step 1.1

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

$0 \cos (x) + \sin (\frac{π}{2}) \sin (x)$

Step 1.2

Multiply $0$ by $\cos (x)$ .

$0 + \sin (\frac{π}{2}) \sin (x)$

Step 1.3

The exact value of $\sin (\frac{π}{2})$ is $1$ .

$0 + 1 \sin (x)$

Step 1.4

Multiply $\sin (x)$ by $1$ .

$0 + \sin (x)$

Step 2

Add $0$ and $\sin (x)$ .

$\sin (x)$