en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

cos(pi/(1.5))

Solution

cos (\frac{π}{1.5})

Solution

- \frac{1}{2}

+1

Decimal Notation

- 0.5

Solution steps

cos (\frac{π}{1.5})

= cos (\frac{π}{\frac{3}{2}})

Simplify

= cos (\frac{2 π}{3})

Use the following trivial identity:

cos (\frac{2 π}{3}) = - \frac{1}{2}

cos (\frac{2 π}{3})

cos (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} cos (x) 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{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} cos (x) - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2} 0 \frac{1}{2} \frac{2}{2} \frac{3}{2}

= - \frac{1}{2}

= - \frac{1}{2}

Popular Examples

sin(-(23pi)/(12))

sin (- \frac{23 π}{12})

arctan(900/480)

arctan (\frac{900}{480})

5 cos (3 3^{\circ})

arccos (- \frac{1}{1})

arcsin((sqrt(10))/(10))

arcsin (\frac{10}{10})

Frequently Asked Questions (FAQ)

What is the value of cos(pi/(1.5)) ?
The value of cos(pi/(1.5)) is -1/2