en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

tan(3/2 pi)

Solution

tan (\frac{3}{2} π)

Solution

Undefined

Solution steps

tan (\frac{3}{2} π)

Simplify:

\frac{3}{2} π = \frac{3 π}{2}

\frac{3}{2} π

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{3 π}{2}

= tan (\frac{3 π}{2})

tan (\frac{3 π}{2}) = tan (\frac{π}{2})

tan (\frac{3 π}{2})

Rewrite

\frac{3 π}{2}

as

π + \frac{π}{2}

= tan (π + \frac{π}{2})

Apply the periodicity of

tan

:

tan (x + π) = tan (x)

tan (π + \frac{π}{2}) = tan (\frac{π}{2})

= tan (\frac{π}{2})

= tan (\frac{π}{2})

tan (\frac{π}{2})

is undefined

= Undefined

Popular Examples

e^{pi/2}-e^{arctan(1+(\sqrt[4]{2/3})^2)}

cot (4 7^{\circ})

(tan(50)-tan(20))/(1+tan(50)tan(20))

\frac{tan ( 5 0 ^{\circ} ) - tan ( 2 0 ^{\circ} )}{1 + tan ( 5 0 ^{\circ} ) tan ( 2 0 ^{\circ} )}

42 sin (4 0^{\circ})

tan (38. 2^{\circ})

Frequently Asked Questions (FAQ)

What is the value of tan(3/2 pi) ?
The value of tan(3/2 pi) is Undefined