- How does one do this concentration question?

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If 15.5 g of Iron metal at 99.9 degrees C is dropped into 200.0 mL of water at 23.0 degrees C, what will be the final temperature of the met? I need to solve for x (sin 2x - cos x) /(cos 2x + sin x -1) = sin (pi + x)? Prove if there is identity cos 2x / (1 + sin 2x) = (cot x - 1) / (cot x + 1)? E^x-3
x=e^y-3
x=lny-3
find f'(x)? Actuary exam?