sin^2 A/cos^2 A+cos^2 A/sin^2 A=1/(sin^2 A.cos^2 A)-2

Asked by  | 29th Aug, 2012, 09:30: PM

Expert Answer:

sin^2 A/cos^2 A+cos^2 A/sin^2 A
sin^4 A + cos^4 A/sin^2 Acos^2 A
= (sin^2 A + cos^2 A)^2 - 2sin^2A cos^2A/sin^2 Acos^2 A
= 1 - 2sin^2A cos^2A/sin^2 Acos^2 A
=1/(sin^2 A.cos^2 A)-2

Answered by  | 29th Aug, 2012, 10:23: PM

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