Trigonometry Examples

$\sin (3 \cdot \frac{5 π}{6})$

Step 1

Cancel the common factor of $3$ .

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Step 1.1

Factor $3$ out of $6$ .

$\sin (3 \cdot \frac{5 π}{3 (2)})$

Step 1.2

Cancel the common factor.

$\sin (3 \cdot \frac{5 π}{3 \cdot 2})$

Step 1.3

Rewrite the expression.

$\sin (\frac{5 π}{2})$

Step 2

Subtract full rotations of $2 π$ until the angle is greater than or equal to $0$ and less than $2 π$ .

$\sin (\frac{π}{2})$

Step 3

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

$1$