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Popular >

tan((19pi)/2)

Solution

tan (\frac{19 π}{2})

Solution

Undefined

Solution steps

tan (\frac{19 π}{2})

tan (\frac{19 π}{2}) = tan (\frac{π}{2})

tan (\frac{19 π}{2})

Rewrite

\frac{19 π}{2}

as

π \cdot 9 + \frac{π}{2}

= tan (π 9 + \frac{π}{2})

Apply the periodicity of

tan

:

tan (x + π \cdot k) = tan (x)

tan (π \cdot 9 + \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((19pi)/2) ?
The value of tan((19pi)/2) is Undefined