Trigonometry Examples

$\frac{\sin (72)}{30}$

Step 1

Simplify the numerator.

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Step 1.1

Factor $2$ out of $72$ .

$\frac{\sin (2 (36))}{30}$

Step 1.2

Apply the sine double-angle identity.

$\frac{2 \sin (36) \cos (36)}{30}$

Step 1.3

Evaluate $\sin (36)$ .

$\frac{2 \cdot 0.58778525 \cos (36)}{30}$

Step 1.4

Evaluate $\cos (36)$ .

$\frac{2 \cdot 0.58778525 \cdot 0.80901699}{30}$

Step 1.5

Combine exponents.

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Step 1.5.1

Multiply $2$ by $0.58778525$ .

$\frac{1.1755705 \cdot 0.80901699}{30}$

Step 1.5.2

Multiply $1.1755705$ by $0.80901699$ .

$\frac{0.95105651}{30}$

$\frac{0.95105651}{30}$

$\frac{0.95105651}{30}$

Step 2

Divide $0.95105651$ by $30$ .

$0.03170188$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$