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Popular >

tan((15pi)/6)

Solution

tan (\frac{15 π}{6})

Solution

Undefined

Solution steps

tan (\frac{15 π}{6})

Simplify:

\frac{15 π}{6} = \frac{5 π}{2}

\frac{15 π}{6}

Cancel the common factor:

3

= \frac{5 π}{2}

= tan (\frac{5 π}{2})

tan (\frac{5 π}{2}) = tan (\frac{π}{2})

tan (\frac{5 π}{2})

Rewrite

\frac{5 π}{2}

as

π \cdot 2 + \frac{π}{2}

= tan (π 2 + \frac{π}{2})

Apply the periodicity of

tan

:

tan (x + π \cdot k) = tan (x)

tan (π \cdot 2 + \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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\frac{15.24}{tan ( 4 1 ^{\circ} )}

arctan(csc(pi/2))

arctan (csc (\frac{π}{2}))

arctan (\frac{- 2}{6})

arctan (2.2)

sin (0.35)

Frequently Asked Questions (FAQ)

What is the value of tan((15pi)/6) ?
The value of tan((15pi)/6) is Undefined