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Popular >

5sin(120)

Solution

5 sin (12 0^{\circ})

Solution

\frac{5 3}{2}

+1

Decimal Notation

4.33012 \dots

Solution steps

5 sin (12 0^{\circ})

Use the following trivial identity:

sin (12 0^{\circ}) = \frac{3}{2}

sin (12 0^{\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{3}{2}

= 5 \cdot \frac{3}{2}

Simplify

5 \cdot \frac{3}{2} : \frac{5 3}{2}

5 \cdot \frac{3}{2}

Multiply fractions:

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

= \frac{3 \cdot 5}{2}

= \frac{5 3}{2}

Popular Examples

cot (23 0^{\circ})

arccos (- 5)

2 cos^{2} (\frac{π}{6})

cos (- 10 0^{\circ})

\frac{7}{cos ( 3 2 ^{\circ} )}

Frequently Asked Questions (FAQ)

What is the value of 5sin(120) ?
The value of 5sin(120) is (5sqrt(3))/2