Find the Exact Value cos(12/15)

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Trigonometry

$\cos (\frac{12}{15})$

Cancel the common factor of $12$ and $15$ .

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Factor $3$ out of $12$ .

$\cos (\frac{3 (4)}{15})$

Cancel the common factors.

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Factor $3$ out of $15$ .

$\cos (\frac{3 \cdot 4}{3 \cdot 5})$

Cancel the common factor.

$\cos (\frac{3 \cdot 4}{3 \cdot 5})$

Rewrite the expression.

$\cos (\frac{4}{5})$

Evaluate $\cos (\frac{4}{5})$ .

$0.6967067$

The result can be shown in multiple forms.

Exact Form:

$\cos (\frac{12}{15})$

Decimal Form:

$0.69670670 \dots$

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