What is the value of tan(pi/3)tan(pi/3) ?

The value of tan(pi/3)tan(pi/3) is 3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

tan(pi/3)tan(pi/3)

tan (\frac{π}{3}) tan (\frac{π}{3})

3

Solution steps

tan (\frac{π}{3}) tan (\frac{π}{3})

Use the following trivial identity:

tan (\frac{π}{3}) = 3

tan (\frac{π}{3})

tan (x)

periodicity table with

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

= 3

= 33

Simplify

33 : 3

33

Apply radical rule:

a a = a

33 = 3

= 3

= 3

2 cos^{2} (4 5^{\circ}) - 1

4.6 sin (4 2^{\circ})

cos (- \frac{12}{13})

sin (arccot (- \frac{4}{5}))

sec (arcsec (2))