1. Anything divided by itself always equals 1.
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No, (sinx)^2 + (cosx)^2=1 is though
1
You could just pull out the half: it will be (1/2) cos squared x.
(1+cosx)(1-cosx)= 1 +cosx - cosx -cos^2x (where ^2 means squared) = 1-cos^2x = sin^2x (sin squared x)
The answer is 1. sin^2 x cos^2/sin^2 x 1/cos^2 cos^2 will be cancelled =1 sin^2 also will be cancelled=1 1/1 = 1