Precalculus Examples

$\sin (\arccos (\frac{2}{3}) - \arctan (\frac{1}{3}))$

Step 1

Simplify each term.

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Step 1.1

Evaluate $\arccos (\frac{2}{3})$ .

$\sin (0.84106867 - \arctan (\frac{1}{3}))$

Step 1.2

Evaluate $\arctan (\frac{1}{3})$ .

$\sin (0.84106867 - 1 \cdot 0.32175055)$

Step 1.3

Multiply $- 1$ by $0.32175055$ .

$\sin (0.84106867 - 0.32175055)$

Step 2

Subtract $0.32175055$ from $0.84106867$ .

$\sin (0.51931811)$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\sin (\arccos (\frac{2}{3}) - \arctan (\frac{1}{3}))$

Decimal Form:

$0.49628827 \dots$