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Popular >

180cos(30)

Solution

180 cos (3 0^{\circ})

Solution

903

+1

Decimal Notation

155.88457 \dots

Solution steps

180 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}

= 180 \cdot \frac{3}{2}

Simplify

180 \cdot \frac{3}{2} : 903

180 \cdot \frac{3}{2}

Multiply fractions:

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

= \frac{3 \cdot 180}{2}

Divide the numbers:

\frac{180}{2} = 90

= 903

= 903

Popular Examples

sin (0 + \frac{π}{2})

10 cos (5 0^{\circ})

arctan (1.79)

cos((3pi)/2)cos(pi)-sin((3pi)/2)sin(pi)

cos (\frac{3 π}{2}) cos (π) - sin (\frac{3 π}{2}) sin (π)

(sqrt(2-\sqrt{2+2cos(80))})/(sin(40))

\frac{2 - 2 + 2 cos ( 8 0 ^{\circ} )}{sin ( 4 0 ^{\circ} )}

Frequently Asked Questions (FAQ)

What is the value of 180cos(30) ?
The value of 180cos(30) is 90sqrt(3)