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Popular >

-8sin(pi/4)

Solution

- 8 sin (\frac{π}{4})

Solution

- 42

+1

Decimal Notation

- 5.65685 \dots

Solution steps

- 8 sin (\frac{π}{4})

Use the following trivial identity:

sin (\frac{π}{4}) = \frac{2}{2}

sin (\frac{π}{4})

sin (x)

periodicity table with

2 πn

cycle:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} sin (x) 0 \frac{1}{2} \frac{2}{2} \frac{3}{2} 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} x π \frac{7 π}{6} \frac{5 π}{4} \frac{4 π}{3} \frac{3 π}{2} \frac{5 π}{3} \frac{7 π}{4} \frac{11 π}{6} sin (x) 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2}

= \frac{2}{2}

= - 8 \cdot \frac{2}{2}

Simplify

- 8 \cdot \frac{2}{2} : - 42

- 8 \cdot \frac{2}{2}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= - \frac{2 \cdot 8}{2}

Divide the numbers:

\frac{8}{2} = 4

= - 42

= - 42

Popular Examples

2 sin (1 0^{\circ})

7 cos (3 5^{\circ})

4 sin (- \frac{π}{4})

3 cos (\frac{7 π}{4})

csc (\frac{π}{7})

Frequently Asked Questions (FAQ)

What is the value of -8sin(pi/4) ?
The value of -8sin(pi/4) is -4sqrt(2)