Q46 of 268 Page 5

If x cosθ =a and y = a tanθ, then prove that x2–y2=a2

Given: x cosθ = a and y = a tanθ


To Prove : x2–y2=a2


Taking LHS = x2–y2


Putting the values of x and y, we get







[∵ cos2 θ + sin2 θ = 1]


= a2


= RHS


Hence Proved


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