Inverse 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

Inverse hyperbolic functions — objective 1

Maths4U Original · Short practice

Use the real inverse functions, with \(\displaystyle a=14,\ p=\frac{13}{15}\).

Find arsinh(a).

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

Fresh review variant

Inverse hyperbolic functions — objective 1

Maths4U Original · Short practice

Use the real inverse functions, with \(\displaystyle a=15,\ p=\frac{7}{8}\).

Find arsinh(a).

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

Method

Inverse hyperbolic functions — objective 2

Maths4U Original · Short practice

Use the real inverse functions, with \(\displaystyle a=15,\ p=\frac{7}{8}\).

Find the nonnegative value arcosh(a).

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

Fresh review variant

Inverse hyperbolic functions — objective 2

Maths4U Original · Short practice

Use the real inverse functions, with \(\displaystyle a=16,\ p=\frac{15}{17}\).

Find the nonnegative value arcosh(a).

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

Apply

Inverse hyperbolic functions — objective 3

Maths4U Original · Short practice

Use the real inverse functions, with \(\displaystyle a=16,\ p=\frac{15}{17}\).

Find artanh(p).

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

Fresh review variant

Inverse hyperbolic functions — objective 3

Maths4U Original · Short practice

Use the real inverse functions, with \(\displaystyle a=17,\ p=\frac{8}{9}\).

Find artanh(p).

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

Check understanding

Inverse hyperbolic functions — objective 4

Maths4U Original · Short practice

Use the real inverse functions, with \(\displaystyle a=17,\ p=\frac{8}{9}\).

Find exp(2 artanh(p)).

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

Fresh review variant

Inverse hyperbolic functions — objective 4

Maths4U Original · Short practice

Use the real inverse functions, with \(\displaystyle a=18,\ p=\frac{17}{19}\).

Find exp(2 artanh(p)).

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

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