Algebra Examples

\sin (\frac{5 π}{4})

$\sin (\frac{5 π}{4})$

Step 1

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because sine is negative in the third quadrant.

- \sin (\frac{π}{4})

$- \sin (\frac{π}{4})$

Step 2

The exact value of

\sin (\frac{π}{4})

$\sin (\frac{π}{4})$ is

\frac{\sqrt{2}}{2}

$\frac{\sqrt{2}}{2}$ .

- \frac{\sqrt{2}}{2}

$- \frac{\sqrt{2}}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

- \frac{\sqrt{2}}{2}

$- \frac{\sqrt{2}}{2}$

Decimal Form:

- 0.70710678 \dots

$- 0.70710678 \dots$

\sin (\frac{5 π}{4})

$\sin (\frac{5 π}{4})$

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