What is the value of 55cos(30) ?

The value of 55cos(30) is (55sqrt(3))/2

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55cos(30)

55 cos (3 0^{\circ})

\frac{55 3}{2}

Decimal Notation

47.63139 \dots

Solution steps

55 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}

= 55 \cdot \frac{3}{2}

Simplify

55 \cdot \frac{3}{2} : \frac{55 3}{2}

55 \cdot \frac{3}{2}

Multiply fractions:

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

= \frac{3 \cdot 55}{2}

= \frac{55 3}{2}

18 sin (1 4^{\circ})

2 \cdot sec^{2} (0) \cdot tan (0)

2 cos (2 \cdot \frac{3 π}{4} - \frac{π}{2})

20 tan (2 5^{\circ})

1 - 2 cos (\frac{5 π}{3})