What is the value of (11*2-11*1*cos(30))/(5.5) ?

The value of (11*2-11*1*cos(30))/(5.5) is 4-sqrt(3)

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(112-111*cos(30))/(5.5)

\frac{11 \cdot 2 - 11 \cdot 1 \cdot cos ( 3 0 ^{\circ} )}{5.5}

4 - 3

Decimal Notation

2.26794 \dots

Solution steps

\frac{11 \cdot 2 - 11 \cdot 1 \cdot cos ( 3 0 ^{\circ} )}{5.5}

= \frac{11 \cdot 2 - 11 \cdot 1 \cdot cos ( 3 0 ^{\circ} )}{\frac{11}{2}}

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{11 \cdot 2 - 11 \cdot 1 \cdot \frac{3}{2}}{\frac{11}{2}}

Simplify

\frac{11 \cdot 2 - 11 \cdot 1 \cdot \frac{3}{2}}{\frac{11}{2}} : 4 - 3

\frac{11 \cdot 2 - 11 \cdot 1 \cdot \frac{3}{2}}{\frac{11}{2}}

11 \cdot 2 - 11 \cdot 1 \cdot \frac{3}{2} = 22 - 11 \cdot \frac{3}{2}

11 \cdot 2 - 11 \cdot 1 \cdot \frac{3}{2}

Multiply the numbers:

11 \cdot 2 = 22

= 22 - 11 \cdot 1 \cdot \frac{3}{2}

Multiply the numbers:

11 \cdot 1 = 11

= 22 - 11 \cdot \frac{3}{2}

= \frac{22 - 11 \cdot \frac{3}{2}}{\frac{11}{2}}

Apply the fraction rule:

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

= \frac{( 22 - 11 \cdot \frac{3}{2} ) \cdot 2}{11}

Multiply

11 \cdot \frac{3}{2} : \frac{11 3}{2}

11 \cdot \frac{3}{2}

Multiply fractions:

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

= \frac{3 \cdot 11}{2}

= \frac{2 ( - \frac{11 3}{2} + 22 )}{11}

Join

22 - \frac{3 \cdot 11}{2} : \frac{44 - 11 3}{2}

22 - \frac{3 \cdot 11}{2}

Convert element to fraction:

22 = \frac{22 \cdot 2}{2}

= \frac{22 \cdot 2}{2} - \frac{3 \cdot 11}{2}

Since the denominators are equal, combine the fractions:

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

= \frac{22 \cdot 2 - 3 \cdot 11}{2}

Multiply the numbers:

22 \cdot 2 = 44

= \frac{44 - 11 3}{2}

= \frac{2 \cdot \frac{44 - 11 3}{2}}{11}

Multiply

\frac{44 - 3 \cdot 11}{2} \cdot 2 : 44 - 113

\frac{44 - 3 \cdot 11}{2} \cdot 2

Multiply fractions:

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

= \frac{( 44 - 3 \cdot 11 ) \cdot 2}{2}

Cancel the common factor:

2

= 44 - 3 \cdot 11

= \frac{44 - 11 3}{11}

Factor

44 - 311 : 11 (4 - 3)

44 - 3 \cdot 11

Rewrite as

= 11 \cdot 4 - 113

Factor out common term

11

= 11 (4 - 3)

= \frac{11 ( 4 - 3 )}{11}

Divide the numbers:

\frac{11}{11} = 1

= 4 - 3

= 4 - 3

\frac{sin ( π )}{π ^{2}}

\frac{2 \cdot 15 sin ( 3 0 ^{\circ} )}{10}

125.3 \cdot cos (6 3^{\circ})

\frac{20}{tan ( 6 0 ^{\circ} )}

sinh (7)

What is the value of (11*2-11*1*cos(30))/(5.5) ?
The value of (11*2-11*1*cos(30))/(5.5) is 4-sqrt(3)