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Practice — Hyperbolic functions • Inverse hyperbolic functions

Inverse hyperbolic functions: check 1
Difficulty: ★★☆
3237
Info
M4U-EXT-QP-9231-FP2-T478-O1

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.

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Inverse hyperbolic functions: review variant 1
Difficulty: ★★☆
3238
Info
M4U-EXT-QP-9231-FP2-T478-O1-V1

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.

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Inverse hyperbolic functions: check 2
Difficulty: ★★☆
3239
Info
M4U-EXT-QP-9231-FP2-T478-O2

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.

Log in to check answers and record progress. You can still view solutions.
Inverse hyperbolic functions: review variant 2
Difficulty: ★★☆
3240
Info
M4U-EXT-QP-9231-FP2-T478-O2-V1

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.

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Inverse hyperbolic functions: check 3
Difficulty: ★★☆
3241
Info
M4U-EXT-QP-9231-FP2-T478-O3

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.

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Inverse hyperbolic functions: review variant 3
Difficulty: ★★☆
3242
Info
M4U-EXT-QP-9231-FP2-T478-O3-V1

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.

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Inverse hyperbolic functions: check 4
Difficulty: ★★☆
3243
Info
M4U-EXT-QP-9231-FP2-T478-O4

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.

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Inverse hyperbolic functions: review variant 4
Difficulty: ★★☆
3244
Info
M4U-EXT-QP-9231-FP2-T478-O4-V1

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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