Prove that the left side equals to the right side: (sin x/(1-cos x))+(sin x/(1+cos x))=2 csc x
2 answers:
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Answer:
Stare at it long enough. You will notice that with each step you double the value, and change sign. It makes it a geometric sequence of ratio -2. At this point you have two ways of writing down:
Option 1: Ricorsively, the first term is -5, then the next term is -2 times the previous one:
Option 2: In closed form, remembering that the n-th term in a geometric sequence is the starting term times the n-th power of the ratio:
Either work, depending on what you need to use it for.