What is the value of sin(((5pi)/3)/(2)) ?

The value of sin(((5pi)/3)/(2)) is 1/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sin(((5pi)/3)/(2))

sin (\frac{\frac{5 π}{3}}{2})

\frac{1}{2}

Solution steps

sin (\frac{\frac{5 π}{3}}{2})

Rewrite using trig identities:

\frac{1 - cos ( \frac{5 π}{3} )}{2}

= \frac{1 - cos ( \frac{5 π}{3} )}{2}

Rewrite using trig identities:

cos (\frac{5 π}{3}) = \frac{1}{2}

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

Simplify

\frac{1 - \frac{1}{2}}{2} : \frac{1}{2}

= \frac{1}{2}

arctan (\frac{2}{- 6})

arcsin (\frac{1}{12})

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

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

15 sin (3 5^{\circ})

What is the value of sin(((5pi)/3)/(2)) ?
The value of sin(((5pi)/3)/(2)) is 1/2