Q. 465.0( 1 Vote )

# 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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