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

The value of sin(pi/3)-cos(pi/3) is (sqrt(3)-1)/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sin(pi/3)-cos(pi/3)

sin (\frac{π}{3}) - cos (\frac{π}{3})

\frac{3 - 1}{2}

Solution steps

sin (\frac{π}{3}) - cos (\frac{π}{3})

Use the following trivial identity:

sin (\frac{π}{3}) = \frac{3}{2}

Use the following trivial identity:

cos (\frac{π}{3}) = \frac{1}{2}

= \frac{3}{2} - \frac{1}{2}

Simplify

\frac{3}{2} - \frac{1}{2} : \frac{3 - 1}{2}

= \frac{3 - 1}{2}

cos^{2} (1) - e^{- 2}

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

arctan (0.77)

- 1 (sin (0))

cot (0.000001)

What is the value of sin(pi/3)-cos(pi/3) ?
The value of sin(pi/3)-cos(pi/3) is (sqrt(3)-1)/2