What is the value of sin(30)*7 ?

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sin(30)*7

sin (3 0^{\circ}) \cdot 7

\frac{7}{2}

Decimal Notation

3.5

Solution steps

sin (3 0^{\circ}) \cdot 7

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} \cdot 7

Simplify

\frac{1}{2} \cdot 7 : \frac{7}{2}

\frac{1}{2} \cdot 7

Convert element to fraction:

7 = \frac{7}{1}

= \frac{1}{2} \cdot \frac{7}{1}

Multiply fractions:

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

= \frac{1 \cdot 7}{2 \cdot 1}

Cancel the common factor:

1

= \frac{7}{2}

= \frac{7}{2}

\frac{sec ( 32 π )}{3}

- 8 sin (\frac{5 π}{6})

30 \cdot cos (9 0^{\circ})

cos (\frac{3 π}{4} + \frac{5 π}{6})

- (\frac{2}{π}) (4) cos (1 0^{\circ}) - cos (8)