1.

Prove that (sinθ + cosecθ)2 + (cosθ + secθ)2 = 7 + tan2θ + cot2θ

Answer»

sin2θ + cosec2θ + 2sinθ + cosecθ + cos2θ + sec2θ + 2cosθ secθ

1 + cosec2θ + 2 + 2 + sec2θ

1 + 1 + cot2θ + 2 + 2 + 1 + tan2θ 

7 + tan2θ + cot2θ.



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