Trigonometry Examples

$y = - \frac{1}{4} \cdot \sin (\frac{π}{4})$

Step 1

Simplify $- \frac{1}{4} \cdot \sin (\frac{π}{4})$ .

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Step 1.1

The exact value of $\sin (\frac{π}{4})$ is $\frac{\sqrt{2}}{2}$ .

$y = - \frac{1}{4} \cdot \frac{\sqrt{2}}{2}$

Step 1.2

Multiply $- \frac{1}{4} \cdot \frac{\sqrt{2}}{2}$ .

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Step 1.2.1

Multiply $\frac{\sqrt{2}}{2}$ by $\frac{1}{4}$ .

$y = - \frac{\sqrt{2}}{2 \cdot 4}$

Step 1.2.2

Multiply $2$ by $4$ .

$y = - \frac{\sqrt{2}}{8}$

Step 2

The result can be shown in multiple forms.

Exact Form:

$y = - \frac{\sqrt{2}}{8}$

Decimal Form:

$y = - 0.17677669 \dots$