What is the value of (1+sin(pi))^{1/(tan(pi))} ?

The value of (1+sin(pi))^{1/(tan(pi))} is Undefined

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(1+sin(pi))^{1/(tan(pi))}

(1 + sin (π))^{\frac{1}{t a n ( π )}}

Undefined

Solution steps

(1 + sin (π))^{\frac{1}{t a n ( π )}}

Use the following trivial identity:

sin (π) = 0

sin (π)

sin (x)

periodicity table with

2 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} sin (x) 0 \frac{1}{2} \frac{2}{2} \frac{3}{2} 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} x π \frac{7 π}{6} \frac{5 π}{4} \frac{4 π}{3} \frac{3 π}{2} \frac{5 π}{3} \frac{7 π}{4} \frac{11 π}{6} sin (x) 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2}

= 0

Use the following trivial identity:

tan (π) = 0

tan (π)

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

= (1 + 0)^{\frac{1}{0}}

= Undefined

cos (5 \cdot 0)

69.8 sin^{2} (74.04 4^{\circ})

2 π - sin (π)

sin^{2} (3 0^{\circ}) + cos^{2} (6 0^{\circ}) - 1

csc^{2} (\frac{2 π}{3})

What is the value of (1+sin(pi))^{1/(tan(pi))} ?
The value of (1+sin(pi))^{1/(tan(pi))} is Undefined