Trigonometry Examples

$\sin (\arcsin (\frac{\sqrt{3}}{2}) + \arccos (1))$

Step 1

Simplify each term.

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Step 1.1

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

$\sin (\frac{π}{3} + \arccos (1))$

Step 1.2

The exact value of $\arccos (1)$ is $0$ .

$\sin (\frac{π}{3} + 0)$

Step 2

Add $\frac{π}{3}$ and $0$ .

$\sin (\frac{π}{3})$

Step 3

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

$\frac{\sqrt{3}}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{\sqrt{3}}{2}$

Decimal Form:

$0.86602540 \dots$