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Popular >

tan(10pi)

Solution

tan (10 π)

Solution

0

Solution steps

tan (10 π)

tan (10 π) = tan (0)

tan (10 π)

Rewrite

10 π

as

π \cdot 10 + 0

= tan (π 10 + 0)

Apply the periodicity of

tan

:

tan (x + π \cdot k) = tan (x)

tan (π \cdot 10 + 0) = tan (0)

= tan (0)

= tan (0)

Use the following trivial identity:

tan (0) = 0

tan (0)

tan (x)

periodicity table with

πn

cycle:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} tan (x) 0 \frac{3}{3} 13 \pm \infty - 3 - 1 - \frac{3}{3}

= 0

= 0

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Frequently Asked Questions (FAQ)

What is the value of tan(10pi) ?
The value of tan(10pi) is 0