Find the Exact Value tan(pi/4)-sin(pi/6)

$\tan (\frac{π}{4}) - \sin (\frac{π}{6})$

Step 1

Simplify each term.

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

$1 - \sin (\frac{π}{6})$

The exact value of $\sin (\frac{π}{6})$ is $\frac{1}{2}$ .

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

Step 2

Simplify the expression.

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

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

Combine the numerators over the common denominator.

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

Subtract $1$ from $2$ .

$\frac{1}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{2}$

Decimal Form:

$0.5$