Further Mathematics 7366: Hyperbolic functions Topical Past Paper Questions

(a) On the axes below, sketch the graph of $$ y=\cosh x $$ Indicate the value of any intercept of the curve with the axes. [2 marks] (b) Solve the equation $$ \cos\gamma x=2 $$ Give your answers to three significant figures. [2 marks]

Which expression below is equivalent to $ \tanh x $? Circle your answer. [1 mark] sinh x $ \cosh x $ $ \frac{\sinh x}{\cosh x} $ $ \frac{\cosh x}{\sinh x} $ $ \sinh x + \cosh x $

The two values of $\theta$ that satisfy the equation $$ \sinh^{2}\theta-\sinh\theta-2=0 $$ are $\theta_{1}$ and $\theta_{2}$ Hamzah is asked to find the value of $\theta_{1} + \theta_{2}$ He writes his answer as follows: The quadratic coefficients are $a=1, b=-1, c=-2$ The sum of…