What is the value of e^{2sin(0)} ?

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e^{2sin(0)}

e^{2 s i n (0)}

1

Solution steps

e^{2 s i n (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

= e^{2 \cdot 0}

Simplify

= 1

\frac{sin ( 1 6 ^{\circ} ) \cdot 352}{sin ( 5 2 ^{\circ} )}

sin (arctan (\frac{5}{33}))

cos (\frac{2 π}{7}) + cos (\frac{4 π}{7}) + cos (\frac{6 π}{7})

arcsin (\frac{2.5}{10})

arctan (\frac{5}{2})