(sinA+cosecA) 2+ (cosA +secA)2 =7+tan2A+cot?A 3 m
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Answer
L.H.S. =(sinA+cosecA)
2
+(cosA+secA)
2
=sin
2
A+cosec
2
A+2sinAcosecA+cos
2
A+sec
2
A+2cosAsecA
=1+2+2+1+tan
2
A+1+cot
2
A
=7+tan
2
A+cot
2
A = R.H.S.
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