ADVANCED MATHEMATICS FORM 6 – HYPERBOLIC FUNCTION

COMBINATION OF COSHX AND SINHX

Examples

         1. Show that

         2. Show that

        3.  Show that

         4. Show that

    5.   Find the expression that equation   has equal roots

        

         6. Show that the point lies between

         7. Solve the following
(i)

        
8.Solve the following equation  give the roots in terms of  natural logarithms

         if

Solution 01

Solution 2  

         










Solution 03

Solution 04

Solution 05

Solution 06

Solution 07

Solution 08

Divide by e^-x throughout.

Solution 09

Solution 10