What is the value of tan(75) ?

The value of tan(75) is 2+sqrt(3)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

tan(75)

tan (7 5^{\circ})

2 + 3

Solution steps

tan (7 5^{\circ})

Rewrite using trig identities:

\frac{tan ( 4 5 ^{\circ} ) + tan ( 3 0 ^{\circ} )}{1 - tan ( 4 5 ^{\circ} ) tan ( 3 0 ^{\circ} )}

= \frac{tan ( 4 5 ^{\circ} ) + tan ( 3 0 ^{\circ} )}{1 - tan ( 4 5 ^{\circ} ) tan ( 3 0 ^{\circ} )}

Use the following trivial identity:

tan (4 5^{\circ}) = 1

Use the following trivial identity:

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

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

Simplify

\frac{1 + \frac{3}{3}}{1 - 1 \cdot \frac{3}{3}} : 2 + 3

= 2 + 3

cos (21 0^{\circ})

cos^{2} (x) = 2 - 2 sin (x)

cos (2 π)

cos (β) = 0.8

cos (15 0^{\circ})