Question

If x asecθ + btanθ and y = atanθ + bsecθ,prove that x² - y² = a² - b² 

Answer 1

x = asecθ + btanθ

⇒ x² =  (asecθ + btanθ)² = a²sec²θ + b²tan²θ + 2absecθtanθ

y = atanθ + bsecθ

⇒ y² = (atanθ + bsecθ)² = a²tan²θ + b²sec²θ + 2abtanθsecθ

Now,

Hence Proved.

Answer 2

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