What is the value of 2+(8cos((pi*3)/3))-(2cos((2pi*3)/3)) ?

The value of 2+(8cos((pi*3)/3))-(2cos((2pi*3)/3)) is -8

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2+(8cos((pi3)/3))-(2cos((2pi3)/3))

2 + (8 cos (\frac{π \cdot 3}{3})) - (2 cos (\frac{2 π \cdot 3}{3}))

- 8

Solution steps

2 + (8 cos (\frac{π 3}{3})) - (2 cos (\frac{2 π 3}{3}))

= 2 + 8 cos (\frac{π 3}{3}) - 2 cos (\frac{2 π 3}{3})

Simplify

= 2 + 8 cos (π) - 2 cos (2 π)

cos (2 π) = cos (0)

= 2 + 8 cos (π) - 2 cos (0)

Use the following trivial identity:

cos (π) = (- 1)

Use the following trivial identity:

cos (0) = 1

= 2 + 8 (- 1) - 2 \cdot 1

Simplify

= - 8

- arctan (\frac{3}{2})

arcsin (\frac{5.93}{12.02})

sin (- \frac{7 π}{6}) + cos (- \frac{π}{4})

arcsin (\frac{2}{3})

36 sin (4 8^{\circ})

What is the value of 2+(8cos((pi*3)/3))-(2cos((2pi*3)/3)) ?
The value of 2+(8cos((pi*3)/3))-(2cos((2pi*3)/3)) is -8