which of the following is equivalent to the expression sin 2x cos x-sin x cos2x
a. sinx
b. sin 3x
c. cos x
d. cos 3x
which of the following is equivalent to the expression sin 2x cos x-sin x cos2x
a. sinx
b. sin 3x
c. cos x
d. cos 3x
Hello Debnath!
sin2x cosx−sinx cos2x=2 sinx cosx cosx−sinx (cos2x−sin2x)=2sinx cos2x−sinx cos2x+sin3x=sinx cos2x+sin3x=sinx(cos2x+sin2x)=sinx ⋅1
sin2x cosx−sinx cos2x=sinx
!
which of the following is equivalent to the expression sin 2x cos x-sin x cos2x
a. sinx
b. sin 3x
c. cos x
d. cos 3x
Hello Debnath!
sin2x cosx−sinx cos2x=2 sinx cosx cosx−sinx (cos2x−sin2x)=2sinx cos2x−sinx cos2x+sin3x=sinx cos2x+sin3x=sinx(cos2x+sin2x)=sinx ⋅1
sin2x cosx−sinx cos2x=sinx
!