Prove that cos(theta)-√3sin(theta)=2cos(theta+π/3)?

1 Answer
Dec 2, 2017

Please refer to the Explanation.

Explanation:

#"The R.H.S.="2cos(theta+pi/3),#

#=2{costhetacos(pi/3)-sinthetasin(pi/3)},#

#=2{1/2costheta-sqrt3/2sintheta},#

#=2*1/2(costheta-sqrt3sintheta),#

#=costheta-sqrt3sintheta,#

#"=The L.H.S."#