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Popular >

24cos(45)

Solution

24 cos (4 5^{\circ})

Solution

122

+1

Decimal Notation

16.97056 \dots

Solution steps

24 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}

= 24 \cdot \frac{2}{2}

Simplify

24 \cdot \frac{2}{2} : 122

24 \cdot \frac{2}{2}

Multiply fractions:

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

= \frac{2 \cdot 24}{2}

Divide the numbers:

\frac{24}{2} = 12

= 122

= 122

Popular Examples

128+127.5sin((2pi)/(16)*0)

128 + 127.5 sin (\frac{2 π}{16} \cdot 0)

sin(1.875)-(1.875)/2

sin (1.875) - \frac{1.875}{2}

128+127.5sin((2pi)/(16)*3)

128 + 127.5 sin (\frac{2 π}{16} \cdot 3)

sin (41. 8^{\circ})

(cos((3pi)/4)+isin((3pi)/4))^4

(cos (\frac{3 π}{4}) + i sin (\frac{3 π}{4}))^{4}

Frequently Asked Questions (FAQ)

What is the value of 24cos(45) ?
The value of 24cos(45) is 12sqrt(2)