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Popular >

150cos(30)

Solution

150 cos (3 0^{\circ})

Solution

753

+1

Decimal Notation

129.90381 \dots

Solution steps

150 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}

= 150 \cdot \frac{3}{2}

Simplify

150 \cdot \frac{3}{2} : 753

150 \cdot \frac{3}{2}

Multiply fractions:

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

= \frac{3 \cdot 150}{2}

Divide the numbers:

\frac{150}{2} = 75

= 753

= 753

Popular Examples

sin (\frac{17 π}{2})

- 6 sin (\frac{π}{3})

cos^{2} (6)

arctan(5/(5sqrt(3)))

arctan (\frac{5}{5 3})

cos (\frac{11 π}{8})

Frequently Asked Questions (FAQ)

What is the value of 150cos(30) ?
The value of 150cos(30) is 75sqrt(3)