Smallest value of t

Question

Electricity the voltage in circuit is given by the function V(t) = sin(3t-pi/2).What is the Smallest non -nrgative value of t which is voltage is equal to zero.

Answer 1

V(t) = sin(3t-pi/2)

V(t) =0

sin(3t-pi/2)=0

3t-pi/2=0

3t=pi/2

t=pi/6

The smallest t value is pi/6