What is the value of cos(45)*2.2 ?

The value of cos(45)*2.2 is (11sqrt(2))/(10)

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cos(45)*2.2

cos (4 5^{\circ}) \cdot 2.2

\frac{11 2}{10}

Decimal Notation

1.55563 \dots

Solution steps

cos (4 5^{\circ}) \cdot 2.2

= cos (4 5^{\circ}) \frac{11}{5}

Use the following trivial identity:

cos (4 5^{\circ}) = \frac{2}{2}

cos (4 5^{\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{2}{2}

= \frac{2}{2} \cdot \frac{11}{5}

Simplify

\frac{2}{2} \cdot \frac{11}{5} : \frac{11 2}{10}

\frac{2}{2} \cdot \frac{11}{5}

Multiply fractions:

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

= \frac{2 \cdot 11}{2 \cdot 5}

Multiply the numbers:

2 \cdot 5 = 10

= \frac{11 2}{10}

= \frac{11 2}{10}

\frac{10}{cos ( 6 0 ^{\circ} )}

sin (\frac{3}{5} + \frac{12}{13})

arccosh (4)

\frac{4}{cos ( 4 5 ^{\circ} )}

2 \cdot 9.8 \cdot sin (3 0^{\circ})