Question

prove that sin A+ cos A/sin A-cos A + sin A- cosA/sin A+cosA=2/2sin^2A-1=2/1-2cos^2 A

Answer 1

(sinA+cosA)/(sinA-cosA) -(sinA-cosA)/(sinA+cosA)
=[(sinA+cos A)^2-(sinA-cosA)^2]/(sinA-cosA)(sinA+COS A)
=2(sin^2A+cos^2A)/(sin^2-cos^2A)
=2/(sin^2A-cos^2A)
=2/(1-cos^2A-cos^2A)
=2/(1-2cos^2A) or 2/[sin^2A-(1-cos^2A)]
=2/(2sin^2A-1). 

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Answer 2

Answer:

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