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Popular >

cos(30)*10

Solution

cos (3 0^{\circ}) \cdot 10

Solution

53

+1

Decimal Notation

8.66025 \dots

Solution steps

cos (3 0^{\circ}) \cdot 10

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 10

Simplify

\frac{3}{2} \cdot 10 : 53

\frac{3}{2} \cdot 10

Multiply fractions:

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

= \frac{3 \cdot 10}{2}

Divide the numbers:

\frac{10}{2} = 5

= 53

= 53

Popular Examples

cot (\frac{15 π}{2})

-cos(pi)-cos(0)

- cos (π) - cos (0)

\frac{8}{tan ( 3 4 ^{\circ} )}

cos((5pi)/7)cos((3pi)/5)-sin((5pi)/7)sin((3pi)/5)

cos (\frac{5 π}{7}) cos (\frac{3 π}{5}) - sin (\frac{5 π}{7}) sin (\frac{3 π}{5})

cos (\frac{6 π}{6})

Frequently Asked Questions (FAQ)

What is the value of cos(30)*10 ?
The value of cos(30)*10 is 5sqrt(3)