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Practice — Hyperbolic functions • Logarithmic form for inverse hyperbolic functions

Logarithmic form for inverse hyperbolic functions: check 1
Difficulty: ★★☆
3245 • M4U-EXT-QP-9231-FP2-T479-O1

Maths4U Original · Short practice

Use the real inverse functions, with \(a=11,\ p=\frac{5}{6}\).

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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Logarithmic form for inverse hyperbolic functions: review variant 1
Difficulty: ★★☆
3246 • M4U-EXT-QP-9231-FP2-T479-O1-V1

Maths4U Original · Short practice

Use the real inverse functions, with \(a=12,\ p=\frac{11}{13}\).

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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Logarithmic form for inverse hyperbolic functions: check 2
Difficulty: ★★☆
3247 • M4U-EXT-QP-9231-FP2-T479-O2

Maths4U Original · Short practice

Use the real inverse functions, with \(a=12,\ p=\frac{11}{13}\).

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.
Logarithmic form for inverse hyperbolic functions: review variant 2
Difficulty: ★★☆
3248 • M4U-EXT-QP-9231-FP2-T479-O2-V1

Maths4U Original · Short practice

Use the real inverse functions, with \(a=13,\ p=\frac{6}{7}\).

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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Logarithmic form for inverse hyperbolic functions: check 3
Difficulty: ★★☆
3249 • M4U-EXT-QP-9231-FP2-T479-O3

Maths4U Original · Short practice

Use the real inverse functions, with \(a=13,\ p=\frac{6}{7}\).

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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Logarithmic form for inverse hyperbolic functions: review variant 3
Difficulty: ★★☆
3250 • M4U-EXT-QP-9231-FP2-T479-O3-V1

Maths4U Original · Short practice

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

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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Logarithmic form for inverse hyperbolic functions: check 4
Difficulty: ★★☆
3251 • M4U-EXT-QP-9231-FP2-T479-O4

Maths4U Original · Short practice

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

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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Logarithmic form for inverse hyperbolic functions: review variant 4
Difficulty: ★★☆
3252 • M4U-EXT-QP-9231-FP2-T479-O4-V1

Maths4U Original · Short practice

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

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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