Trigonometry Examples

$\tan (\frac{π}{4}) - \cos (\frac{π}{3})$

Step 1

Simplify each term.

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Step 1.1

The exact value of $\tan (\frac{π}{4})$ is $1$ .

$1 - \cos (\frac{π}{3})$

Step 1.2

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

$1 - \frac{1}{2}$

Step 2

Simplify the expression.

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Step 2.1

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

$\frac{2}{2} - \frac{1}{2}$

Step 2.2

Combine the numerators over the common denominator.

$\frac{2 - 1}{2}$

Step 2.3

Subtract $1$ from $2$ .

$\frac{1}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{2}$

Decimal Form:

$0.5$