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Popular >

400sin(60)

Solution

400 sin (6 0^{\circ})

Solution

2003

+1

Decimal Notation

346.41016 \dots

Solution steps

400 sin (6 0^{\circ})

Use the following trivial identity:

sin (6 0^{\circ}) = \frac{3}{2}

sin (6 0^{\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{3}{2}

= 400 \cdot \frac{3}{2}

Simplify

400 \cdot \frac{3}{2} : 2003

400 \cdot \frac{3}{2}

Multiply fractions:

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

= \frac{3 \cdot 400}{2}

Divide the numbers:

\frac{400}{2} = 200

= 2003

= 2003

Popular Examples

sin^2(60)+cos^2(60)

sin^{2} (6 0^{\circ}) + cos^{2} (6 0^{\circ})

arcsin((2.5)/5)

arcsin (\frac{2.5}{5})

5 cos (5 0^{\circ})

cos (\frac{5}{2} π)

arccos (\frac{10}{15})

Frequently Asked Questions (FAQ)

What is the value of 400sin(60) ?
The value of 400sin(60) is 200sqrt(3)