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

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

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((sin(0)))/0

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

Undefined

Solution steps

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

= \frac{sin ( 0 )}{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

= \frac{0}{0}

= Undefined

4 (sin (1 5^{\circ}) cos^{3} (1 5^{\circ}) - sin^{3} (1 5^{\circ}) cos (1 5^{\circ}))

cos (\frac{π}{4} - \frac{7 π}{6})

arccos (634148)

tan (4 5^{\circ}) - tan (3 0^{\circ})

- arctan (\frac{3}{3})