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

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

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sin(60)*200

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

1003

Decimal Notation

173.20508 \dots

Solution steps

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

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}

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

Simplify

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

\frac{3}{2} \cdot 200

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

arctan (\frac{480 + 10 3}{- 10})

cos (\frac{- 1 π}{3})

sec^{2} (\frac{π}{8})

74 (cos (30 6^{\circ}) + i sin (30 6^{\circ}))

arccos (sin (- \frac{3 π}{4}))