Question

If Tanθ+sinθ=m,tanθ-sinθ=n and m≠n then prove that m²_n²=4√mn

Answer 1

Do not fear from question..see what you need to prove and act according... Okk. .prepare the terms you need in prove and in no time you will solve the problem! ! Have Fun

Answer 2

Let Theta =A

=(tan A+ sin A)²- (tan A - sin A)²
=(tan² A +sin² A +2tanA.sinA-tan² A -sin² A +2tanA.sinA)
=4tanA.sinA

=4√(tan A+sin A)(tan A-sin A)
=4√(tan²A-sin²A)
=4√{(sin²A/cos²A)-sin²A}
=4√{sin²A-sin²A.cos²A}/cos²A
=4√sin²A{1-cos²A}/cos²A
=4√sin²A.sin²A/cos²A
=4 sin²A/cosA
=4 tanA.sinA

LHS = RHS

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