What is the value of 15sin(150) ?

The value of 15sin(150) is 15/2

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15sin(150)

15 sin (15 0^{\circ})

\frac{15}{2}

Decimal Notation

7.5

Solution steps

15 sin (15 0^{\circ})

Use the following trivial identity:

sin (15 0^{\circ}) = \frac{1}{2}

sin (15 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}

= 15 \cdot \frac{1}{2}

Simplify

15 \cdot \frac{1}{2} : \frac{15}{2}

15 \cdot \frac{1}{2}

Convert element to fraction:

15 = \frac{15}{1}

= \frac{1}{2} \cdot \frac{15}{1}

Multiply fractions:

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

= \frac{15 \cdot 1}{1 \cdot 2}

Cancel the common factor:

1

= \frac{15}{2}

= \frac{15}{2}

arcsin (\frac{7.5}{10})

cos (\frac{10}{10 5})

tan (sin (cos (9 0^{\circ}))) - cos (tan (sin (18 0^{\circ})))

sin (\frac{15}{2})

arctan (\frac{- 2.3}{5.3})