What is the value of (cos(30))/1 ?

The value of (cos(30))/1 is (sqrt(3))/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(cos(30))/1

\frac{cos ( 3 0 ^{\circ} )}{1}

\frac{3}{2}

Decimal Notation

0.86602 \dots

Solution steps

\frac{cos ( 3 0 ^{\circ} )}{1}

Use the following trivial identity:

cos (3 0^{\circ}) = \frac{3}{2}

cos (3 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{3}{2}

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

Simplify

= \frac{3}{2}

arctan (1) + arctan (\frac{1}{1})

- 3 sin (2 (\frac{7 π}{4}))

arcsin (\frac{1}{2} 3)

\frac{1 + tan ^{2} ( 67. 5 ^{\circ} )}{1 - tan ^{2} ( 67. 5 ^{\circ} )}

sin (53. 1^{\circ}) (25) - (9.8) (3)