Find the Exact Value sin(36/39)

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Trigonometry

$\sin (\frac{36}{39})$

Cancel the common factor of $36$ and $39$ .

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Factor $3$ out of $36$ .

$\sin (\frac{3 (12)}{39})$

Cancel the common factors.

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Factor $3$ out of $39$ .

$\sin (\frac{3 \cdot 12}{3 \cdot 13})$

Cancel the common factor.

$\sin (\frac{3 \cdot 12}{3 \cdot 13})$

Rewrite the expression.

$\sin (\frac{12}{13})$

Evaluate $\sin (\frac{12}{13})$ .

$0.79746191$

The result can be shown in multiple forms.

Exact Form:

$\sin (\frac{36}{39})$

Decimal Form:

$0.79746191 \dots$

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