What is the value of -3sin(60) ?

The value of -3sin(60) is -(3sqrt(3))/2

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-3sin(60)

- 3 sin (6 0^{\circ})

- \frac{3 3}{2}

Decimal Notation

- 2.59807 \dots

Solution steps

- 3 sin (6 0^{\circ})

Use the following trivial identity:

sin (6 0^{\circ}) = \frac{3}{2}

sin (6 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}

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

Simplify

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

- 3 \cdot \frac{3}{2}

Multiply fractions:

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

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

= - \frac{3 3}{2}

\frac{sin ( 3 0 ^{\circ} )}{sin ( 19. 5 ^{\circ} )}

sin (6 0^{\circ}) cos (3 0^{\circ}) - cos (6 0^{\circ}) sin (3 0^{\circ})

\frac{sin ( 9 0 ^{\circ} ) ( 12 )}{sin ( 5 0 ^{\circ} )}

arctan (\frac{3.46}{9.8} + 0.5)

cot^{2} (9 0^{\circ})