What is the value of e^{pi-pi}tan(29pi) ?

The value of e^{pi-pi}tan(29pi) is 0

Popular >

e^{pi-pi}tan(29pi)

e^{π - π} tan (29 π)

0

Solution steps

e^{π - π} tan (29 π)

Simplify

= tan (29 π)

tan (29 π) = tan (0)

tan (29 π)

Rewrite

29 π

π \cdot 29 + 0

= tan (π 29 + 0)

Apply the periodicity of

tan

tan (x + π \cdot k) = tan (x)

tan (π \cdot 29 + 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

129.5 sin (3 2^{\circ})

8 sin (\frac{π}{6}) cos (\frac{π}{6})

\frac{( ( 10.3 1 ^{2} ) \cdot ( 2 \cdot sin ( 22.8 3 ^{\circ} ) ) )}{9.8}

2 sin^{2} (0) - 7 sec^{2} (0) + 2 cos^{2} (0) + 7 tan^{2} (0)

- 2 cos (13 5^{\circ})