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Popular >

sin(4*pi/4)

Solution

sin (4 \cdot \frac{π}{4})

Solution

0

Solution steps

sin (4 \cdot \frac{π}{4})

Simplify:

4 \cdot \frac{π}{4} = π

4 \cdot \frac{π}{4}

Multiply fractions:

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

= \frac{π 4}{4}

Cancel the common factor:

4

= π

= sin (π)

Use the following trivial identity:

sin (π) = 0

sin (π)

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}

= 0

= 0

Popular Examples

(sin(30))/(sin(22.5))

\frac{sin ( 3 0 ^{\circ} )}{sin ( 22. 5 ^{\circ} )}

(cos(pi/6))/(-sin(pi/6))

\frac{cos ( \frac{π}{6} )}{- sin ( \frac{π}{6} )}

cos^2((3pi)/8)+cos^2(pi/8)

cos^{2} (\frac{3 π}{8}) + cos^{2} (\frac{π}{8})

cos((3pi)/4)+sin((3pi)/4)

cos (\frac{3 π}{4}) + sin (\frac{3 π}{4})

tan^{2} (1921 4^{\circ})

Frequently Asked Questions (FAQ)

What is the value of sin(4*pi/4) ?
The value of sin(4*pi/4) is 0