Question Detail

MTH 102 Practice Questions MTH 102 Objective Question
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Question

The hyperbolic cotangent of x (coth x) is given by
Options
A 2/(eˣ+e⁻ˣ)
B 2/(eˣ-e⁻ˣ)
C (eˣ-e⁻ˣ)/(eˣ+e⁻ˣ)
D (eˣ+e⁻ˣ)/(eˣ-e⁻ˣ)
Correct Answer
Correct Answer

Option D is the correct answer.

Detailed Explanation

coth x = cosh x/sinh x = (eˣ+e⁻ˣ)/(eˣ-e⁻ˣ), by definition.

Hint

Recall coth x is the reciprocal of tanh x, i.e. cosh x over sinh x.

Question Info

Course: MTH 102
Topic: Practice Questions MTH 102
Type: Objective
Difficulty: Not specified
Question 873 of 930
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