Browse by Stream
Discuss Doubts
Home
Search for Exam, Articles, Questions
get app
Go To Your Study Dashboard
  1. Home
  2. if sin inverse x= y then (A) 0 less than or equal to y less than or equal to pi (B) - pi / 2 is less than or equal to y is less than or equal to pi / 2 (C) 0 < y < pi (D) - pi / 2 < y < pi / 2

Filters

Select Stream
Select Type
Select Exam
Select Subject
Select Chapter
Select Exercise
Q&A - Ask Doubts and Get Answers
Q
NCERT

if sin inverse x= y then (A) 0 less than or equal to y less than or equal to pi (B) - pi / 2 is less than or equal to y is less than or equal to pi / 2 (C) 0 < y < pi (D) - pi / 2 < y < pi / 2

13. If \sin^{-1}x = y then

    (A)    0\leq y \leq \pi

    (B)    -\frac{\pi}{2} \leq y \leq \frac{\pi}{2}

    (C)     0 < y < \pi

    (D)     -\frac{\pi}{2} < y < \frac{\pi}{2}

Answers (1)
Views
D Divya Prakash Singh

Given if  \sin^{-1}x = y  then,

As we know that the \sin^{-1} can take values between \left [ \frac{-\pi}{2}, \frac{\pi}{2} \right ].

Therefore, -\frac{\pi}{2} \leq y \leq \frac{\pi}{2}.

Hence answer choice (B) is correct.

Similar Questions

Related Chapters

Exams
Articles
Questions