Trigonometry Examples

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

Step 1

Simplify each term.

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Step 1.1

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

$\sin (\frac{π}{6} + \arctan (- 2))$

Step 1.2

Evaluate $\arctan (- 2)$ .

$\sin (\frac{π}{6} - 1.10714871)$

Step 2

Subtract $1.10714871$ from $\frac{π}{6}$ .

$\sin (- 0.58354994)$

Step 3

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$- 0.55098987 \dots$