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MTH 101 MTH 101 Past Questions Objective Question

Question

Expressing sin⁻¹x in terms of z, we have:
Options
A log(z ± √(z²-1))
B log(z ± √(1-z²))
Correct Answer
C log(z ± √(1-z³))
D log(z ± √(1+z²))
Correct Answer

Option B is the correct answer.

Detailed Explanation

sin⁻¹x = -i ln(ix + √(1-x²)) or in some contexts expressed using logarithms. The correct form involves √(1-x²). For z = ix, the expression becomes something like ln(z ± √(1-z²)).

Hint

Recall the logarithmic form of inverse trigonometric functions.

Question Info