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Popular >

12cos(45)

Solution

12 cos (4 5^{\circ})

Solution

62

+1

Decimal Notation

8.48528 \dots

Solution steps

12 cos (4 5^{\circ})

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}

= 12 \cdot \frac{2}{2}

Simplify

12 \cdot \frac{2}{2} : 62

12 \cdot \frac{2}{2}

Multiply fractions:

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

= \frac{2 \cdot 12}{2}

Divide the numbers:

\frac{12}{2} = 6

= 62

= 62

Popular Examples

tan (- 3 π)

cos((41pi)/(12))

cos (\frac{41 π}{12})

arccos (- \frac{5}{6})

sin(2arcsin(12/13))

sin (2 arcsin (\frac{12}{13}))

tan(arccsc(-5/2))

tan (arccsc (- \frac{5}{2}))

Frequently Asked Questions (FAQ)

What is the value of 12cos(45) ?
The value of 12cos(45) is 6sqrt(2)