Prove that the angle between the tangents from $(α, β)$ to the circle $x^{2} + y^{2} = a^{2}$ is $2 tan^{- 1} (\frac{a}{S _{1}})$ , where $S_{1} = α^{2} + β^{2} - a^{2}$

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Prove that the angle between the tangents from

(α, β)

to the circle

x^{2} + y^{2} = a^{2}

2 tan^{- 1} (\frac{a}{S _{1}})

, where

S_{1} = α^{2} + β^{2} - a^{2}

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Question Text

Prove that the angle between the tangents from

(α, β)

to the circle

x^{2} + y^{2} = a^{2}

2 tan^{- 1} (\frac{a}{S _{1}})

, where

S_{1} = α^{2} + β^{2} - a^{2}

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