Read the two statements and choose the correct option. I. The curve y = cos^-1 x passes through (0, π/2). II. The curve y = sec^-1 x passes through (0, π/2).

Inverse Trigonometric Functions · Question 70 of 120

Question 70

MediumOriginal question

Read the two statements and choose the correct option.
I. The curve $y = \cos^{-1} x$ passes through $\left(0, \frac{\pi}{2}\right)$ .
II. The curve $y = \sec^{-1} x$ passes through $\left(0, \frac{\pi}{2}\right)$ .

Only ICorrect answerYour answerOnly IICorrect answerYour answerBoth I and IICorrect answerYour answerNeither I nor IICorrect answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer A

Correct answer: A

I is true: $\cos^{-1} 0 = \frac{\pi}{2}$ .
II is false: 0 is not in the domain of $\sec^{-1}$ , which needs $\lvert x \rvert \ge 1$ .

Worth noting

The graph of $\sec^{-1}$ has a gap over $(-1, 1)$ .

Ten questions from Inverse Trigonometric Functions, at your own pace.

Ten questions from Inverse Trigonometric Functions, at your own pace.