en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

cos(1140)

Solution

cos (114 0^{\circ})

Solution

\frac{1}{2}

+1

Decimal Notation

0.5

Solution steps

cos (114 0^{\circ})

cos (114 0^{\circ}) = cos (6 0^{\circ})

cos (114 0^{\circ})

Rewrite

114 0^{\circ}

as

36 0^{\circ} \cdot 3 + 6 0^{\circ}

= cos (36 0^{\circ} 3 + 6 0^{\circ})

Apply the periodicity of

cos

:

cos (x + 36 0^{\circ} \cdot k) = cos (x)

cos (36 0^{\circ} \cdot 3 + 6 0^{\circ}) = cos (6 0^{\circ})

= cos (6 0^{\circ})

= cos (6 0^{\circ})

Use the following trivial identity:

cos (6 0^{\circ}) = \frac{1}{2}

cos (6 0^{\circ})

cos (x)

periodicity table with

36 0^{\circ} n

cycle:

x 0 3 0^{\circ} 4 5^{\circ} 6 0^{\circ} 9 0^{\circ} 12 0^{\circ} 13 5^{\circ} 15 0^{\circ} cos (x) 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} x 18 0^{\circ} 21 0^{\circ} 22 5^{\circ} 24 0^{\circ} 27 0^{\circ} 30 0^{\circ} 31 5^{\circ} 33 0^{\circ} 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

cos(pi/2)cos(pi/3)+sin(pi/2)sin(pi/3)

cos (\frac{π}{2}) cos (\frac{π}{3}) + sin (\frac{π}{2}) sin (\frac{π}{3})

200 sin (2 0^{\circ})

3(cos(pi/3)+isin(pi/3))

3 (cos (\frac{π}{3}) + i sin (\frac{π}{3}))

tan^2(arctan(2))+cot^2(arccot(3))

tan^{2} (arctan (2)) + cot^{2} (arccot (3))

20 cos (5 3^{\circ})

Frequently Asked Questions (FAQ)

What is the value of cos(1140) ?
The value of cos(1140) is 1/2