Trigonometry Examples

$\tan (\frac{π}{4}) + \sin (30 °)$

Step 1

Simplify each term.

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Step 1.1

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

$1 + \sin (30 °)$

Step 1.2

The exact value of $\sin (30 °)$ 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

Add $2$ and $1$ .

$\frac{3}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{2}$

Decimal Form:

$1.5$

Mixed Number Form:

$1 \frac{1}{2}$