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2cot2x= 2(1/tan2x)= 2(1/(2tanx/1-tan²x))=2(1-tan²x)/2tanx= (1-tan²x)/tanx(1-tan²x)/tanx +tanx=(1-tan²x)/tanx +tan²x/tanx=1/tanx=cotx

There are several ways to do this. The best way by far is to demonstrate a specific nugget of interest and knowledge within the (usually) vast field of study you are applying for. So, for example, instead...

The general solution y_GS(t) to a differential equation in the form ay''(t)+by'(t)+cy(t)=f(t) is the sum of the complementary function y_CF(t) and a <...

Need to base decision purely scientifically- cannot pass judgement on the mother who is an alcoholic for example, as it is your job as a doctor to be completely unjudgemental and treat everyone the same. ...

This is a very common question amongst all Spanish-learners and sadly there isn't an answer that is completely 'set in stone'. This is because the subjunctive doesn't exist in English, which means it is d...