Is it true that (1-cos^2x)=((1+cosx)(1-cosx)?

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Answer 1 · 2018-05-08T19:31:16

Yes,it is true.

Here,

#(1-cos^2x)=(1+cosx)(1-cosx)#

We know that,

#(a-b)(a+b)=a^2-b^2#

So,

#RHS=(1-cosx)(1+cosx)#

#RHS=(1)^2-(cosx)^2#

#RHS=1-cos^2x#

#RHS=LHS#