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Popular >

tan((-3pi)/2)

Solution

tan (\frac{- 3 π}{2})

Solution

Undefined

Solution steps

tan (\frac{- 3 π}{2})

Simplify

= tan (- \frac{3 π}{2})

Use the following property:

tan (- x) = - tan (x)

tan (- \frac{3 π}{2}) = - tan (\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

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Frequently Asked Questions (FAQ)

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