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

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

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tan(3 pi/2)

tan (3 \frac{π}{2})

Undefined

Solution steps

tan (3 \cdot \frac{π}{2})

Simplify:

3 \cdot \frac{π}{2} = \frac{3 π}{2}

3 \cdot \frac{π}{2}

Multiply fractions:

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

= \frac{π 3}{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}

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

cot (2 6^{\circ})

36 cos (4 5^{\circ})

\frac{1}{cos ( 4 0 ^{\circ} )}

tan (arcsin (- \frac{1}{2}) + arccos (- \frac{3}{2}))

\frac{tan ( \frac{5 π}{8} ) - tan ( \frac{3 π}{8} )}{1 + tan ( \frac{5 π}{8} ) tan ( \frac{3 π}{8} )}