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Popular >

40*sin(45)

Solution

40 \cdot sin (4 5^{\circ})

Solution

202

+1

Decimal Notation

28.28427 \dots

Solution steps

40 sin (4 5^{\circ})

Use the following trivial identity:

sin (4 5^{\circ}) = \frac{2}{2}

sin (4 5^{\circ})

sin (x)

periodicity table with

36 0^{\circ} n

cycle:

x 0 3 0^{\circ} 4 5^{\circ} 6 0^{\circ} 9 0^{\circ} 12 0^{\circ} 13 5^{\circ} 15 0^{\circ} sin (x) 0 \frac{1}{2} \frac{2}{2} \frac{3}{2} 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} x 18 0^{\circ} 21 0^{\circ} 22 5^{\circ} 24 0^{\circ} 27 0^{\circ} 30 0^{\circ} 31 5^{\circ} 33 0^{\circ} 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}

= 40 \cdot \frac{2}{2}

Simplify

40 \cdot \frac{2}{2} : 202

40 \cdot \frac{2}{2}

Multiply fractions:

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

= \frac{2 \cdot 40}{2}

Divide the numbers:

\frac{40}{2} = 20

= 202

= 202

Popular Examples

arccos(7/(sqrt(83)))

arccos (\frac{7}{83})

arctan((2200+1650)/(15000))

arctan (\frac{2200 + 1650}{15000})

\frac{90}{cos ( 3 0 ^{\circ} )}

cos (2 π)

2 + sin (2)

Frequently Asked Questions (FAQ)

What is the value of 40*sin(45) ?
The value of 40*sin(45) is 20sqrt(2)