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Popular >

12sin(45)

Solution

12 sin (4 5^{\circ})

Solution

62

+1

Decimal Notation

8.48528 \dots

Solution steps

12 sin (4 5^{\circ})

Use the following trivial identity:

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

sin (4 5^{\circ})

sin (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} sin (x) 0 \frac{1}{2} \frac{2}{2} \frac{3}{2} 1 \frac{3}{2} \frac{2}{2} \frac{1}{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} sin (x) 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{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

2 \cdot cos (6 0^{\circ})

sin(pi/3)cos(pi/2)+cos(pi/3)sin(pi/2)

sin (\frac{π}{3}) cos (\frac{π}{2}) + cos (\frac{π}{3}) sin (\frac{π}{2})

cos (3 (\frac{π}{2}))

sin (\frac{45}{2})

arctan((-4)/(-4sqrt(3)))

arctan (\frac{- 4}{- 4 3})

Frequently Asked Questions (FAQ)

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