Trigonometry Examples

$\cos (\arctan (\frac{1}{2}) + \arcsin (\frac{1}{2}))$

Step 1

Simplify each term.

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Step 1.1

Evaluate $\arctan (\frac{1}{2})$ .

$\cos (0.4636476 + \arcsin (\frac{1}{2}))$

Step 1.2

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

$\cos (0.4636476 + \frac{π}{6})$

Step 2

Add $0.4636476$ and $\frac{π}{6}$ .

$\cos (0.98724638)$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\cos (\arctan (\frac{1}{2}) + \arcsin (\frac{1}{2}))$

Decimal Form:

$0.55098987 \dots$