Question

Find all solutions to the equation.

(sin x)(cos x) = 0

Answer 1

@zepdrix @Cha1234

Answer 2

@jim_thompson5910

Answer 3

(sin x)(cos x) = 0

sin(x) =0 or cos(x) = 0

x = 0, pi, 2pi, .... or x = pi/2, 3pi/2, ...

x = pi*n or x = pi/2 + pi*n

combine the two solution sets to get

x = n*pi/2


Note: the value of n is an integer