If e is the eccentricity of the hyperbola a2x2−b2y2=1 and θ is the angle between the asymptotes, then cos.2θ is equal to

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Question

If e is the eccentricity of the hyperbola $\frac{x ^{2}}{a ^{2}} - \frac{y ^{2}}{b ^{2}} = 1$ and $θ$ is the angle between the asymptotes, then $cos . \frac{θ}{2}$ is equal to

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Eleanor Discussed

If e is the eccentricity of the hyperbola

\frac{x ^{2}}{a ^{2}} - \frac{y ^{2}}{b ^{2}} = 1

and

θ

is the angle between the asymptotes, then

cos . \frac{θ}{2}

is equal to

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Discuss this question LIVE

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Question Text

If e is the eccentricity of the hyperbola

\frac{x ^{2}}{a ^{2}} - \frac{y ^{2}}{b ^{2}} = 1

and

θ

is the angle between the asymptotes, then

cos . \frac{θ}{2}

is equal to