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Prove that (Sin A+ sec A ) 2 + (Cos A + Cosec A) 2 = ( 1 + Sec A . Cosec A ) 2

Prove that (Sin A+ sec A ) 2 + (Cos A + Cosec A)2  = ( 1 + Sec A . Cosec A ) 2

Grade:10

1 Answers

Lab Bhattacharjee
121 Points
8 years ago
\text{LHS }= 1+\dfrac1{\cos^2A}+\dfrac1{\sin^2A}+\dfrac{2\sin A}{\cos A}+\dfrac{2\cos A}{\sin A}\\ =1+\dfrac1{\cos^2A\sin^2A}+\dfrac2{\cos A\sin A}

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