If x = a cosec θ and y = b sec θ, prove that (a2x2+b2y2) = 1.
Answer:
1
- We are told that x=a cosec θ⟹ax=1cosec θ⟹ax=sin θ…(i) Also, y=b sec θ⟹by=1sec θ⟹by=cos θ…(ii)
- On squaring and adding (i) and (ii), we get (a2x2+b2y2)=sin2 θ+cos2 θ=1