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Popular >

116sin(45)

Solution

116 sin (4 5^{\circ})

Solution

582

+1

Decimal Notation

82.02438 \dots

Solution steps

116 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}

= 116 \cdot \frac{2}{2}

Simplify

116 \cdot \frac{2}{2} : 582

116 \cdot \frac{2}{2}

Multiply fractions:

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

= \frac{2 \cdot 116}{2}

Divide the numbers:

\frac{116}{2} = 58

= 582

= 582

Popular Examples

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\frac{490 sin ( 13 5 ^{\circ} )}{sin ( 10 5 ^{\circ} )}

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\frac{1}{3} (- 8 cos (\frac{π}{3}) - \frac{tan ^{2} ( \frac{π}{3} )}{2})

84.85 cos (4 5^{\circ})

Frequently Asked Questions (FAQ)

What is the value of 116sin(45) ?
The value of 116sin(45) is 58sqrt(2)