If x = a cosec θ and y = b sec θ, prove that (a2x2+b2y2) = 1.


Answer:

1

Step by Step Explanation:
  1. We are told that x=a cosec θax=1cosec θax=sin θ(i) Also, y=b sec θby=1sec θby=cos θ(ii)
  2. On squaring and adding (i) and (ii), we get (a2x2+b2y2)=sin2 θ+cos2 θ=1

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