Eliminate 0 from the following: x = 6cosec θ,y = 8cot θ

1.	Eliminate 0 from the following: x = 6cosec θ,y = 8cot θ
Answer» x = 6cosec θ and y = 8cot θ ∴ cosec θ = and cot θ = We know that, cosec² θ – cot² θ = ∴ \((\frac{x}{6})^2 - (\frac{y}{8})^2=1\) ∴ \(\frac{x^2}{36} - \frac{y^2}{64}=1\) 16x² – 9y² = 576

Answer»

x = 6cosec θ and y = 8cot θ

∴ cosec θ = and cot θ =

We know that,

cosec² θ – cot² θ =

∴ \((\frac{x}{6})^2 - (\frac{y}{8})^2=1\)

∴ \(\frac{x^2}{36} - \frac{y^2}{64}=1\)

16x² – 9y² = 576

Discussion