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if x=asecΘ+btanΘ and y=atanΘ+bsecΘ, then prove that x 2 -y 2 =a 2 -b 2 .

if x=asecΘ+btanΘ and y=atanΘ+bsecΘ, then prove that x2-y2=a2-b2.

Grade:10

1 Answers

Nishant Vora IIT Patna
askIITians Faculty 2467 Points
6 years ago
Hello Student, this is very simple problem.

x=asecΘ+btanΘ …....eqn (1)
y=atanΘ+bsecΘ.........eqn (2)

Square and substract eqn (1) and (2)
so you will get the answer


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