On multiplying using the identity
\((a-b)(a+b)=a^{2}-b^{2}\)we get the equation as
\((1-cos x)(1+cosx)=1-cos^{2}x\) \(sin ^{2}x +cos^{2}x=1 \Rightarrow cos^{2}x-1= sin^{2}x\)
On multiplying using the identity
\((a-b)(a+b)=a^{2}-b^{2}\)we get the equation as
\((1-cos x)(1+cosx)=1-cos^{2}x\) \(sin ^{2}x +cos^{2}x=1 \Rightarrow cos^{2}x-1= sin^{2}x\)BOOK
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