What is the value of 1/(tan(60)) ?

The value of 1/(tan(60)) is (sqrt(3))/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

1/(tan(60))

\frac{1}{tan ( 6 0 ^{\circ} )}

\frac{3}{3}

Decimal Notation

0.57735 \dots

Solution steps

\frac{1}{tan ( 6 0 ^{\circ} )}

Use the following trivial identity:

tan (6 0^{\circ}) = 3

tan (6 0^{\circ})

tan (x)

periodicity table with

18 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} tan (x) 0 \frac{3}{3} 13 \pm \infty - 3 - 1 - \frac{3}{3}

= 3

= \frac{1}{3}

Simplify

\frac{1}{3} : \frac{3}{3}

\frac{1}{3}

Multiply by the conjugate

\frac{3}{3}

= \frac{1 \cdot 3}{3 3}

1 \cdot 3 = 3

33 = 3

33

Apply radical rule:

a a = a

33 = 3

= 3

= \frac{3}{3}

= \frac{3}{3}

(1 + cos (20 0^{\circ})) (1 + cos (34 0^{\circ}))

cos (52. 5^{\circ}) sin (7. 5^{\circ})

cot^{2} (3 0^{\circ})

arctan (\frac{- 1}{0})

\frac{100}{sin ( 3 0 ^{\circ} )}