If x - -a tan - and y - -a sec - Find the value of y2 - x2 -

X = √(a)tan α nbsp;and y = √(a)sec α x^2 = a tan^2 α nbsp;and y^2 = a sec^2 α ⇒ nbsp;y^2 nbsp;x^2 = a(sec^2 α tan^2 α) = a ...

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Trigonometric Identities

If x = √a tan...

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If x = $\sqrt{a} t a n α$ and y = $\sqrt{a} s e c α$ . Find the value of $y^{2}$ – $x^{2}$ .

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If x = $\sqrt{a} t a n α$ and y = $\sqrt{a} s e c α$ . Find the value of $y^{2}$ – $x^{2}$

x = \sqrt{a} s i n α

y = \sqrt{a} c o s α

y^{2}

x^{2}

x = \sqrt{a} sin α

y = \sqrt{a} cos α

x^{2} + y^{2}

α

β

x^{2} + y^{2}

α = {tan}^{- 1} (\frac{\sqrt{3} x}{2 y - x}), β = {tan}^{- 1} (\frac{2 x - y}{\sqrt{3} y})

α - β

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