Exponential forms of hyperbolic functions · Short practice

Check a final answer, then explain the reasoning on paper. Guest progress stays in this browser; an account saves future checks without overwriting your first result.

Recall

Hyperbolic functions — objective 1

Maths4U Original · Short practice

Let \(u=\ln 12\). Use exact exponential definitions.

Find sinh u.

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

Fresh review variant

Hyperbolic functions — objective 1

Maths4U Original · Short practice

Let \(u=\ln 13\). Use exact exponential definitions.

Find sinh u.

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

Method

Hyperbolic functions — objective 2

Maths4U Original · Short practice

Let \(u=\ln 13\). Use exact exponential definitions.

Find cosh u.

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

Fresh review variant

Hyperbolic functions — objective 2

Maths4U Original · Short practice

Let \(u=\ln 14\). Use exact exponential definitions.

Find cosh u.

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

Apply

Hyperbolic functions — objective 3

Maths4U Original · Short practice

Let \(u=\ln 14\). Use exact exponential definitions.

Find tanh u.

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

Fresh review variant

Hyperbolic functions — objective 3

Maths4U Original · Short practice

Let \(u=\ln 15\). Use exact exponential definitions.

Find tanh u.

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

Check understanding

Hyperbolic functions — objective 4

Maths4U Original · Short practice

Let \(u=\ln 15\). Use exact exponential definitions.

Find sech u.

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

Fresh review variant

Hyperbolic functions — objective 4

Maths4U Original · Short practice

Let \(u=\ln 16\). Use exact exponential definitions.

Find sech u.

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

Try written exam-style problems →