Question 11 - A-Level Maths

Prove that \(\frac { \sinh \theta } { 1 + \cosh \theta } + \frac { 1 + \cosh \theta } { \sinh \theta } \equiv 2 \operatorname { coth } \theta\) Explicitly state any hyperbolic identities that you use within your proof.
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11
Solve \(\frac { \sinh \theta } { 1 + \cosh \theta } + \frac { 1 + \cosh \theta } { \sinh \theta } = 4\) giving your answer in an exact form.
[0pt] [2 marks]