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Grade 10Trigonometry

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

Profile image of Elizabeth A
10 Years agoGrade 10
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Profile image of Lab Bhattacharjee
10 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}