PreCalculus - Trigonometry: Trig Identities (7 of 57) Verify the Identity: 3

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In this video I will verify the identity (tanx-cotx)/(tan^2x-cot^2x)=sinxcosx.
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Prof. Biezen, right side x could be equal to Pi/2, but left side can not, in that sense the identities are not equal. Is there any assumption on the domain of x? My high school teacher used to add traps in exams and made math extremely difficult.

Jane