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sin(2x)
=2sin(x)cos(x)
cos(2x)
=cos^2(x)-sin^2(x)
=1-2sin^2(x)
cos^2(x)
=1/2(1+cos(2x))
sin^2(x)
=1/2(1-cos(2x))
sin^2(x)+cos^2(x)
=1
1+tan^2(x)
=sec^2(x)
cot^2(x)+1
=csc^2(x)
sin(-x)
=-sin(x)
cos(-x)
=cos(x)