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Popular >

120cos(30)

Solution

120 cos (3 0^{\circ})

Solution

603

+1

Decimal Notation

103.92304 \dots

Solution steps

120 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}

= 120 \cdot \frac{3}{2}

Simplify

120 \cdot \frac{3}{2} : 603

120 \cdot \frac{3}{2}

Multiply fractions:

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

= \frac{3 \cdot 120}{2}

Divide the numbers:

\frac{120}{2} = 60

= 603

= 603

Popular Examples

5 cos (2 π)

\frac{cos ^{3} ( 0 )}{3}

sec (2 3^{\circ})

arccos (\frac{5}{11})

cot (- \frac{10 π}{3})

Frequently Asked Questions (FAQ)

What is the value of 120cos(30) ?
The value of 120cos(30) is 60sqrt(3)