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Popular >

cos(30)100

Solution

cos (3 0^{\circ}) 100

Solution

503

+1

Decimal Notation

86.60254 \dots

Solution steps

cos (3 0^{\circ}) \cdot 100

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}

= \frac{3}{2} \cdot 100

Simplify

\frac{3}{2} \cdot 100 : 503

\frac{3}{2} \cdot 100

Multiply fractions:

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

= \frac{3 \cdot 100}{2}

Divide the numbers:

\frac{100}{2} = 50

= 503

= 503

Popular Examples

2 sin (8 0^{\circ})

9.8 \cdot sin (3 5^{\circ})

sin (490.8 \cdot π)

2tan(60)tan(30)

2 tan (6 0^{\circ}) tan (3 0^{\circ})

5 cos (3 π)

Frequently Asked Questions (FAQ)

What is the value of cos(30)100 ?
The value of cos(30)100 is 50sqrt(3)