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UFM Pure
Hyperbolic functions
Q4
OCR FP2 2011 January — Question 4
Exam Board
OCR
Module
FP2 (Further Pure Mathematics 2)
Year
2011
Session
January
Topic
Hyperbolic functions
4
Use the definitions of hyperbolic functions in terms of exponentials to prove that $$8 \sinh ^ { 4 } x \equiv \cosh 4 x - 4 \cosh 2 x + 3$$
Solve the equation $$\cosh 4 x - 3 \cosh 2 x + 1 = 0$$ giving your answer(s) in logarithmic form.
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