What is the value of (pi/3 cos(pi/3)-sin(pi/3))/((pi/3)^2) ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(pi/3 cos(pi/3)-sin(pi/3))/((pi/3)^2)

\frac{\frac{π}{3} cos ( \frac{π}{3} ) - sin ( \frac{π}{3} )}{( \frac{π}{3} ) ^{2}}

\frac{3 ( π - 3 3 )}{2 π ^{2}}

Solution steps

\frac{\frac{π}{3} cos ( \frac{π}{3} ) - sin ( \frac{π}{3} )}{( \frac{π}{3} ) ^{2}}

Use the following trivial identity:

cos (\frac{π}{3}) = \frac{1}{2}

Use the following trivial identity:

sin (\frac{π}{3}) = \frac{3}{2}

= \frac{\frac{π}{3} \cdot \frac{1}{2} - \frac{3}{2}}{( \frac{π}{3} ) ^{2}}

Simplify

\frac{\frac{π}{3} \cdot \frac{1}{2} - \frac{3}{2}}{( \frac{π}{3} ) ^{2}} : \frac{3 ( π - 3 3 )}{2 π ^{2}}

= \frac{3 ( π - 3 3 )}{2 π ^{2}}

arccos (\frac{5}{2})

0.23 \cdot cos (62. 2^{\circ})

arctan (\frac{22}{21})

arctan (1.27)

arctan (0.561)

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