Eliminate - if x - a - y - b tan- Then find x2a2-y2b2

x = a θ , y = b tanθ thus, θ = xa and tanθ = yb We know, ^2 θ tan^2 θ = 1 (xa)^2 (yb)^2 = 1 x^2a^2 y^2b^2 = 1 ...

You visited us 2 times! Enjoying our articles? Unlock Full Access!

The Equation for the Path of Projectile

Eliminate θ...

Question

Eliminate $θ$ , if $x = a sec θ, y = b tan θ$ . Then find
$\frac{x^{2}}{a^{2}} - \frac{y^{2}}{b^{2}}$

Open in App

Solution

Suggest Corrections

Similar questions

x = a sec θ, y = b tan θ

\frac{x^{2}}{a^{2}} - \frac{y^{2}}{b^{2}} =

If $x = a sec θ + b tan θ$ and $y = a tan θ + b sec θ$ , then $\frac{x^{2} - y^{2}}{a^{2} - b^{2}} =$ ___

x = a sec θ + b tan θ

y = a tan θ + b sec θ

x^{2} - y^{2} = a^{2} - b^{2}

x^{2} - y^{2} = a^{2} - b^{2}

x = a sec θ + b tan θ

y = a tan θ + b sec θ

b^{2} x^{2} - a^{2} y^{2} = a^{2} b^{2},

x = a sec θ, y = b t a n θ

x = a cos e c θ, y = b cot θ

Join BYJU'S Learning Program