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I have a trig final on tuesday and I can't figure out identities. Like figuring out what tanx/2 is equal to or any of it except cos A+/-B and sin A+\-B. I obviously know all the easy shit like sin^2+cos^2 = 1 and all of those but I just can't do these massive algebraic conversions. For example
I am trying to prove that (sin^2x)/2-2cosx = cos^2 x/2 and I get to a point where I have 1-cos^2\2(1-cosx) = cos^2 x/2 which I can cancel out to be 1+cosx/2 = cos^2 x/2
I don't get how those equal eachother, it doesn't make sense to me that a function squarerd and divided by two could equal a function plus 1 and divided by two.