Q19 of 40 Page 422

Prove that: (cosecθ - sinθ)(secθ - cosθ) =

Taking L.H.S


= (cosecθ - sinθ)(secθ - cosθ)




We know, sin2θ + cos2θ = 1


Therefore,



Taking R.H.S





[as sin2θ + cos2θ = 1]


LHS = RHS


Hence, Proved.


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