Trigonometry Examples

$\cos (\frac{π}{3}) + \sin (\frac{π}{2})$

Step 1

Simplify each term.

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Step 1.1

The exact value of $\cos (\frac{π}{3})$ is $\frac{1}{2}$ .

$\frac{1}{2} + \sin (\frac{π}{2})$

Step 1.2

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

$\frac{1}{2} + 1$

Step 2

Simplify the expression.

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Step 2.1

Write $1$ as a fraction with a common denominator.

$\frac{1}{2} + \frac{2}{2}$

Step 2.2

Combine the numerators over the common denominator.

$\frac{1 + 2}{2}$

Step 2.3

Add $1$ and $2$ .

$\frac{3}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{2}$

Decimal Form:

$1.5$

Mixed Number Form:

$1 \frac{1}{2}$