What is the value of 15sin(pi/3) ?

The value of 15sin(pi/3) is (15sqrt(3))/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

15sin(pi/3)

15 sin (\frac{π}{3})

\frac{15 3}{2}

Decimal Notation

12.99038 \dots

Solution steps

15 sin (\frac{π}{3})

Use the following trivial identity:

sin (\frac{π}{3}) = \frac{3}{2}

sin (\frac{π}{3})

sin (x)

periodicity table with

2 πn

cycle:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} sin (x) 0 \frac{1}{2} \frac{2}{2} \frac{3}{2} 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} x π \frac{7 π}{6} \frac{5 π}{4} \frac{4 π}{3} \frac{3 π}{2} \frac{5 π}{3} \frac{7 π}{4} \frac{11 π}{6} 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}

= 15 \cdot \frac{3}{2}

Simplify

15 \cdot \frac{3}{2} : \frac{15 3}{2}

15 \cdot \frac{3}{2}

Multiply fractions:

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

= \frac{3 \cdot 15}{2}

= \frac{15 3}{2}

cos (2 \cdot 135)

tan (\frac{2 π}{4})

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

800 \cdot sin (6 0^{\circ})

sec (arcsin (\frac{20}{29}))