What is the value of 5sin(-30) ?

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5sin(-30)

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

- \frac{5}{2}

Decimal Notation

- 2.5

Solution steps

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

Rewrite using trig identities:

sin (- 3 0^{\circ}) = - \frac{1}{2}

sin (- 3 0^{\circ})

Use the following property:

sin (- x) = - sin (x)

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

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

Use the following trivial identity:

sin (3 0^{\circ}) = \frac{1}{2}

sin (3 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{1}{2}

= - \frac{1}{2}

= 5 (- \frac{1}{2})

Simplify

5 (- \frac{1}{2}) : - \frac{5}{2}

5 (- \frac{1}{2})

Remove parentheses:

(- a) = - a

= - 5 \cdot \frac{1}{2}

Multiply fractions:

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

= - \frac{1 \cdot 5}{2}

Multiply the numbers:

1 \cdot 5 = 5

= - \frac{5}{2}

= - \frac{5}{2}

5 sin (5 3^{\circ}) - tan (4 5^{\circ}) + 2 cos (6 0^{\circ})

- 1 - sin^{2} (2 0^{\circ})

\frac{7.5 1 ^{2} sin ( 2 ( 4 0 ^{\circ} ) )}{18.51}

\frac{( cos ^{3} ( \frac{π}{2} ) )}{3}

sin^{2} (28. 5^{\circ})