1-tan²A/cot²A-1=tan²A...Prove
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Answer:
tan2x−cot2x=sin2xcos2x−cos2xsin2x
=sin4x−cos4xcos2xsin2x
=sin2x−cos2xcos2xsin2x
=1cos2x−1sin2x
=sec2x−csc2x
=sec2x(1−csc2xsec2x)
=sec2x(1−cos2xsin2x)
=sec2x(1−cot2x).
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