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Popular >

250cos(30)

Solution

250 cos (3 0^{\circ})

Solution

1253

+1

Decimal Notation

216.50635 \dots

Solution steps

250 cos (3 0^{\circ})

Use the following trivial identity:

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

cos (3 0^{\circ})

cos (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} cos (x) 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{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} cos (x) - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2} 0 \frac{1}{2} \frac{2}{2} \frac{3}{2}

= \frac{3}{2}

= 250 \cdot \frac{3}{2}

Simplify

250 \cdot \frac{3}{2} : 1253

250 \cdot \frac{3}{2}

Multiply fractions:

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

= \frac{3 \cdot 250}{2}

Divide the numbers:

\frac{250}{2} = 125

= 1253

= 1253

Popular Examples

arctan (\frac{36}{28})

2 cos^{2} (\frac{π}{6}) - 1

4 cos (9 0^{\circ})

- 2 arctan (0)

arctan(-2sqrt(2))

arctan (- 22)

Frequently Asked Questions (FAQ)

What is the value of 250cos(30) ?
The value of 250cos(30) is 125sqrt(3)