Hyperbolic Functions 2 (AQA A-Level Further Maths): Quizzes

📚Quizzes
Hyperbolic Functions 2
Sign up to keep practising.Create a free account to play more quizzes and track your progress.

Practise the questions

10 questions from this quiz

Show

What is the definition of sinh⁡x\sinh x?

12(ex−e−x)\frac{1}{2}(e^x - e^{-x})

What is the logarithmic form of arcosh x\text{arcosh } x?

ln⁡(x+x2−1)\ln(x + \sqrt{x^2 - 1})

What is the domain of arcosh x\text{arcosh } x?

x≥1x \geq 1

What is the fundamental hyperbolic identity?

cosh⁡2x−sinh⁡2x≡1\cosh^2 x - \sinh^2 x \equiv 1

What is the definition of sech x\text{sech } x?

1cosh⁡x\frac{1}{\cosh x}

At which value of xx is cosech x\text{cosech } x undefined?

x=0x = 0

What is the double angle formula for sinh⁡2x\sinh 2x?

2sinh⁡xcosh⁡x2\sinh x \cosh x

What is the minimum value of cosh⁡x\cosh x?

11

What is the range of tanh⁡x\tanh x?

−1<f(x)<1-1 < f(x) < 1

Which identity relates tanh⁡2x\tanh^2 x and sech2x\text{sech}^2 x?

1−tanh⁡2x≡sech2x1 - \tanh^2 x \equiv \text{sech}^2 x

Join 100,000+ A-Level students studying Quizzes with us.

Select your subjects, and get access to A+ resources today.