What is the value of (sin^2(0/2))/((0/2)^2) ?

The value of (sin^2(0/2))/((0/2)^2) is Undefined

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(sin^2(0/2))/((0/2)^2)

\frac{sin ^{2} ( \frac{0}{2} )}{( \frac{0}{2} ) ^{2}}

Undefined

Solution steps

\frac{sin ^{2} ( \frac{0}{2} )}{( \frac{0}{2} ) ^{2}}

Rewrite using trig identities:

sin (\frac{0}{2}) = 0

sin (\frac{0}{2})

Simplify

= sin (0)

Use the following trivial identity:

sin (0) = 0

sin (0)

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

= 0

= \frac{0 ^{2}}{( \frac{0}{2} ) ^{2}}

= Undefined

What is the value of (sin^2(0/2))/((0/2)^2) ?
The value of (sin^2(0/2))/((0/2)^2) is Undefined