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Popular >

sin(pi/2 2)

Solution

sin (\frac{π}{2} 2)

Solution

0

Solution steps

sin (\frac{π}{2} \cdot 2)

Simplify:

\frac{π}{2} \cdot 2 = π

\frac{π}{2} \cdot 2

Multiply fractions:

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

= \frac{π 2}{2}

Cancel the common factor:

2

= 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

arctan((2.3)/(5.3))

arctan (\frac{2.3}{5.3})

arctan (\frac{85}{167})

\frac{arcsin ( 0 )}{2}

3 sin (\frac{π}{12})

20.9+((sin(pi/(21)+e/(21))*0.19*sqrt(21))-0.21+1)

20.9 + ((sin (\frac{π}{21} + \frac{e}{21}) \cdot 0.19 \cdot 21) - 0.21 + 1)

Frequently Asked Questions (FAQ)

What is the value of sin(pi/2 2) ?
The value of sin(pi/2 2) is 0