Prove the identity (sec^2A-sin^2A)÷tan^2A=cosec^2A-cos^2A
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Answer:
Step-by-step explanation:
sec²A-sin²A / tan²A
= 1/cos²A - sin²A/ (sin²A/cos²A)
= 1 - sin²Acos²A / [cos²A. sin²A/cos²A]
= 1 - sin²A cos²A / sin²A
= 1/sin²A - sin²A cos²A / sin²A
= Cosec²A - cos²A
= R.H.S.
hence proved.
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