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Popular Trigonometry >

6*sin(pi/4)

Solution

6 \cdot sin (\frac{π}{4})

Solution

32

+1

Decimal

4.24264 \dots

Solution steps

6 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}

= 6 \cdot \frac{2}{2}

Simplify

6 \cdot \frac{2}{2} : 32

6 \cdot \frac{2}{2}

Multiply fractions:

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

= \frac{2 \cdot 6}{2}

Divide the numbers:

\frac{6}{2} = 3

= 32

= 32

Popular Examples

cos(arcsin(5/13)+arccos(15/17))

sin((3pi)/4)cos(pi/(12))+cos((3pi)/4)sin(pi/(12))

Frequently Asked Questions (FAQ)

What is the value of 6*sin(pi/4) ?
The value of 6*sin(pi/4) is 3sqrt(2)