sec2 A + cosec2 A = sec2 A. cosec2 A
Solution:
First we can convert sec A and cosec A in terms of cos A and sin A respectively in LHS.
L.H.S = sec2 A + cosec2 A
= 1/cos2 A + 1/sin2 A
= (sin2 A + cos2 A)/ (sin2 A cos2 A)
= 1/ (sin2 A cos2 A)
= sec2 A cosec2 A = R.H.S
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