JEE Exam > JEE Questions > sin inverse (sin4) (a) 4 (b) 4 -2pie (c) pie ...
Start Learning for Free
sin inverse (sin4) (a) 4 (b) 4 -2pie (c) pie - 4 (d) none
Most Upvoted Answer
sin inverse (sin4) (a) 4 (b) 4 -2pie (c) pie - 4 (d) none
Solution:
We know that sin inverse function is an inverse function of the sine function. Hence, sin inverse of sin(x) is x. However, if x is not in the range of sin inverse function, then we need to find the value of x which is in the range of sin inverse function and whose sin value is the same as sin(x).
- Option (a) 4:
- Option (b) 4 - 2π:
- Option (c) π - 4:
- Option (d) None:
The sine function has a range of [-1,1]. Therefore, sin(4) is in the range of the sine function. Therefore, sin inverse of sin(4) is equal to 4. Hence, the answer is (a) 4.
The sine function is periodic with a period of 2π. Therefore, sin(x) is equal to sin(x + 2π), for any value of x. Hence, sin inverse of sin(4 - 2π) is equal to sin inverse of sin(4). Therefore, the answer is (a) 4.
The sine function is an odd function. Therefore, sin(-x) is equal to -sin(x), for any value of x. Therefore, sin inverse of sin(π - 4) is equal to sin inverse of sin(4 - π). Since sin(π - x) is equal to sin(x), for any value of x, sin inverse of sin(4 - π) is equal to sin inverse of sin(π - 4). Therefore, the answer is (c) π - 4.
Since sin(4) is in the range of the sine function, sin inverse of sin(4) exists and is equal to 4. Therefore, option (d) is incorrect.
Community Answer
sin inverse (sin4) (a) 4 (b) 4 -2pie (c) pie - 4 (d) none
c
Attention JEE Students!
To make sure you are not studying endlessly, EduRev has designed JEE study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in JEE.
|
Explore Courses for JEE exam
|
|
Top Courses for JEEView all
sin inverse (sin4) (a) 4 (b) 4 -2pie (c) pie - 4 (d) none
Question Description
sin inverse (sin4) (a) 4 (b) 4 -2pie (c) pie - 4 (d) none for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about sin inverse (sin4) (a) 4 (b) 4 -2pie (c) pie - 4 (d) none covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for sin inverse (sin4) (a) 4 (b) 4 -2pie (c) pie - 4 (d) none.
sin inverse (sin4) (a) 4 (b) 4 -2pie (c) pie - 4 (d) none for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about sin inverse (sin4) (a) 4 (b) 4 -2pie (c) pie - 4 (d) none covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for sin inverse (sin4) (a) 4 (b) 4 -2pie (c) pie - 4 (d) none.
Solutions for sin inverse (sin4) (a) 4 (b) 4 -2pie (c) pie - 4 (d) none in English & in Hindi are available as part of our courses for JEE.
Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of sin inverse (sin4) (a) 4 (b) 4 -2pie (c) pie - 4 (d) none defined & explained in the simplest way possible. Besides giving the explanation of
sin inverse (sin4) (a) 4 (b) 4 -2pie (c) pie - 4 (d) none, a detailed solution for sin inverse (sin4) (a) 4 (b) 4 -2pie (c) pie - 4 (d) none has been provided alongside types of sin inverse (sin4) (a) 4 (b) 4 -2pie (c) pie - 4 (d) none theory, EduRev gives you an
ample number of questions to practice sin inverse (sin4) (a) 4 (b) 4 -2pie (c) pie - 4 (d) none tests, examples and also practice JEE tests.
|
|
Explore Courses for JEE exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup