What is the value of 200*sin(60) ?

The value of 200*sin(60) is 100sqrt(3)

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200*sin(60)

200 \cdot sin (6 0^{\circ})

1003

Decimal Notation

173.20508 \dots

Solution steps

200 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}

= 200 \cdot \frac{3}{2}

Simplify

200 \cdot \frac{3}{2} : 1003

200 \cdot \frac{3}{2}

Multiply fractions:

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

= \frac{3 \cdot 200}{2}

Divide the numbers:

\frac{200}{2} = 100

= 1003

= 1003

cos (9 0^{\circ}) + sin (9 0^{\circ})

arccos (\frac{3.1}{5})

cos (arctan (\frac{1}{3}))

arctan (\frac{- 3}{3 3})

sin (4 5^{\circ}) cos (3 0^{\circ})