cos2(x)*csc(x) - csc(x)
Factor out the csc(x):
csc(x)*(cos2(x) - 1)
Now csc(x) = 1/sin(x) and cos2(x)-1 = sin2(x). Substituting we get:
(1/sin(x))*sin2(x) = sin(x)
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Aidan H.
Isnt the identity cos^2x + sin^2x =1 which would mean cos^2 - 1 isn't sin^2 but -sin^2? Because if you subtract 1 from both sides and sine^2 from both sides you get cos^2 - 1 = -sin^211/28/18