(sinA+cotA)^2 (sinA-cotA) ^2 =?
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cotA+cscA
sinA
=2+
cotA−cscA
sinA
∴
cotA+cscA
sinA
−
cotA−cscA
sinA
−2=0
∴LHS=
cot
2
A−csc
2
A
sinA(cotA−cscA)−sinA(cotA+cscA)
=
(−1)
sinA(cotA−cscA−cotA−cscA)
=
(−1)
sinA(−2cscA)
=+2
=RHS
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