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OpenStudy (anonymous):
tan(a)-cot(a)+cot(2a)=
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OpenStudy (anonymous):
=-cot2a
OpenStudy (anonymous):
tana-cota+cot2a= (sina/cosa)-(cosa/sina)+(cos2a/sin2a) taking the lcm which is sin2a, we get =(2sin^a-2cos^a+cos2a)/sin2a =(-2cos2a+cos2a)/sin2a =-cos2a/sin2a=-cot2a
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