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Core Pure: polar coordinates and hyperbolic functions

Quick questions on Hyperbolic functions and identities: definitions, graphs, identities and logarithmic inverses - OCR A-Level Further Maths A

3short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What is domain of arcosh?
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arcosh x\text{arcosh}\,x is only defined for x≥1x \ge 1 (because cosh⁡x≥1\cosh x \ge 1); applying it to a smaller value is invalid.
What is q1?
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State the value of sinh⁡0\sinh 0 and cosh⁡0\cosh 0. [2 marks]
What is q2?
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Use the identity to find cosh⁡2x\cosh^2 x if sinh⁡x=34\sinh x = \tfrac{3}{4}. [2 marks]

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