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Popular >

8*sin(45)

Solution

8 \cdot sin (4 5^{\circ})

Solution

42

+1

Decimal Notation

5.65685 \dots

Solution steps

8 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}

= 8 \cdot \frac{2}{2}

Simplify

8 \cdot \frac{2}{2} : 42

8 \cdot \frac{2}{2}

Multiply fractions:

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

= \frac{2 \cdot 8}{2}

Divide the numbers:

\frac{8}{2} = 4

= 42

= 42

Popular Examples

cot (\frac{23 π}{3})

sin (\frac{5 π}{7})

sin(52.5)sin(7.5)

sin (52. 5^{\circ}) sin (7. 5^{\circ})

sin(arctan(-4/3))

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

sqrt(2)cos((3pi)/4)

2 cos (\frac{3 π}{4})

Frequently Asked Questions (FAQ)

What is the value of 8*sin(45) ?
The value of 8*sin(45) is 4sqrt(2)