Question

Find all solutions to the equation.

(sin x)(cos x) = 0

a.{npi|n=0,1,2,...}
b.{(pi/2)+npi,npi|n=0,1,2,...}
c.{(pi/2)+2npi|n=0,1,2,...}
d.{(pi/2)+npi|n=0,1,2,...}

Answer 1

sinx cosx = 1/2sin2x =0 iff 2x = pi/2 + k pi or x = pi/4 +k/2 pi

Answer 2

@Hoa so which of the following on the option is it? O.o

Answer 3

@hannahg for all x satisfy the condition, those are the solution of the equation, i think

Answer 4

@Hoa so the answer will be an a??