What is the value of 12.1cos(30) ?

The value of 12.1cos(30) is (121sqrt(3))/(20)

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12.1cos(30)

12.1 cos (3 0^{\circ})

\frac{121 3}{20}

Decimal Notation

10.47890 \dots

Solution steps

12.1 cos (3 0^{\circ})

= \frac{121}{10} 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}

= \frac{121}{10} \cdot \frac{3}{2}

Simplify

\frac{121}{10} \cdot \frac{3}{2} : \frac{121 3}{20}

\frac{121}{10} \cdot \frac{3}{2}

Multiply fractions:

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

= \frac{121 3}{10 \cdot 2}

Multiply the numbers:

10 \cdot 2 = 20

= \frac{121 3}{20}

= \frac{121 3}{20}

86 (cos (2 3^{\circ})) (2 (3.36) + 2.27)

cot (78 0^{\circ})

arctan (\frac{5 π}{2})

\frac{sin ( 1 7 ^{\circ} ) cos ( 1 3 ^{\circ} ) + sin ( 1 3 ^{\circ} ) cos ( 1 7 ^{\circ} )}{cos ( 2 6 ^{\circ} ) cos ( 1 9 ^{\circ} ) - sin ( 2 6 ^{\circ} ) sin ( 1 9 ^{\circ} )}

sin (4 2^{\circ}) cos (1 2^{\circ}) - cos (4 2^{\circ}) sin (1 2^{\circ})

What is the value of 12.1cos(30) ?
The value of 12.1cos(30) is (121sqrt(3))/(20)