What is the value of (sin(pi))/(tan(pi)) ?

The value of (sin(pi))/(tan(pi)) is Undefined

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(sin(pi))/(tan(pi))

\frac{sin ( π )}{tan ( π )}

Undefined

Solution steps

\frac{sin ( π )}{tan ( 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

= \frac{0}{0}

= Undefined

3 sin (4 5^{\circ}) - 4 tan (\frac{π}{6})

cos (2 π) - cos (π)

tan (- 67 5^{\circ})

tan^{2} (1 2^{\circ})

cos (\frac{2 \cdot π}{3})

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