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Popular >

sin((3pi)/6)

Solution

sin (\frac{3 π}{6})

Solution

1

Solution steps

sin (\frac{3 π}{6})

Simplify:

\frac{3 π}{6} = \frac{π}{2}

\frac{3 π}{6}

Cancel the common factor:

3

= \frac{π}{2}

= sin (\frac{π}{2})

Use the following trivial identity:

sin (\frac{π}{2}) = 1

sin (\frac{π}{2})

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}

= 1

= 1

Popular Examples

sin^{2} (\frac{1}{2})

cot (\frac{19 π}{6})

tan((-5pi)/(12))

tan (\frac{- 5 π}{12})

sin(arctan(12/5))

sin (arctan (\frac{12}{5}))

arcsin (\frac{15}{17})

Frequently Asked Questions (FAQ)

What is the value of sin((3pi)/6) ?
The value of sin((3pi)/6) is 1