what is the periof of modulus of sin(x)cos(x)

period of sinx and cos x is 2pi
modulus of sinx *cosx
=2*sinxcosx/2
=2*modulus of sin2x
period of sin2x=2pi/2=pi

thus its period is pi

Ans:
Hello Student,
Please find answer to your question below





Period of f(x) = sin2x

Since we are taking the modulus, then negatib=ve part of the graph will come on +ve side which is similar to the +ve positive side. So period will be reduce by half.
Period of f(x) = |sin2x/2|

Approved