## Advanced pure mathematics |

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### Contents

MATTER PAGE | 1 |

Hyperbolic Functions | 9 |

Inverse Hyperbolic Functions | 17 |

Copyright | |

50 other sections not shown

### Common terms and phrases

2hxy Argand diagram asymptotes calculated centre chord circumcentre circumcircle clearly coaxal circles collinear complex number confocal conic conies constant converges cos2 cosech cosh cross ratio cubic equation curve cuts cyclic quadrilateral differential coefficient differential equation directrix ellipse envelope equal Evaluate Example Exercise expressed factors Find the co-ordinates Find the equation fixed point focus formula function given gives graph harmonic Hence homogeneous co-ordinates imaginary inverse inverse hyperbolic functions latus rectum length line at infinity line joining locus Newton's method normal parabola parallel particular integral perpendicular plane point of intersection polar pole projection Proof Prove quadratic quadrilateral radical axis radius real roots reciprocal rectangular hyperbola respect right angles Show shown in Fig sin2 sinh solution straight line tangent tanh Taylor's Theorem TEST PAPER theorem triangle ABC vertex zero