Solve the equation sinx=1/5.

This is an elementary trigonometric equation and we'll use
the following pattern to solve it:

sin x =
a

x = arcsin a +
*k

Let a = 1/5

Since 1/5
< 1, therefore there are values of x for the sine function to be
possible.

sin x = 1/5

x =
arcsin (1/5) + *k

x = *11.53 +
*k

The solutions of the equation belong
to the set {11.53 +  *k/ kZ }.