What is the value of 25*sin(30) ?

The value of 25*sin(30) is 25/2

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25*sin(30)

25 \cdot sin (3 0^{\circ})

\frac{25}{2}

Decimal Notation

12.5

Solution steps

25 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}

= 25 \cdot \frac{1}{2}

Simplify

25 \cdot \frac{1}{2} : \frac{25}{2}

25 \cdot \frac{1}{2}

Convert element to fraction:

25 = \frac{25}{1}

= \frac{1}{2} \cdot \frac{25}{1}

Multiply fractions:

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

= \frac{25 \cdot 1}{1 \cdot 2}

Cancel the common factor:

1

= \frac{25}{2}

= \frac{25}{2}

cos (\frac{- 7 π}{12})

arctan (\frac{4}{9})

arcsin (sin (- \frac{5 π}{6}))

tan (- \frac{11 π}{3})

sin (2 arccos (\frac{5}{13}))