Alerts
Wishlist
Cart
Sign In
Categories
Current Affairs & GK
Current Affairs
Show All Current Affairs & GK
eBooks
General Aptitude
Arithmetic Aptitude
Data Interpretation
Show All General Aptitude
General Knowledge
Basic General Knowledge
General Science
Show All General Knowledge
Medical Science
Anatomy
Biochemical Engineering
Biochemistry
Biotechnology
Microbiology
Show All Medical Science
Technical
Database
Digital Electronics
Electronics
Networking
Show All Technical
Verbal and Reasoning
Logical Reasoning
Verbal Ability
Verbal Reasoning
Show All Verbal and Reasoning
›
The range of sin^(-1)(x) is:
The range of sin^(-1)(x) is:
Expand All
Collapse All
Practice Questions
1 question
Q1
The range of sin^(-1)(x) is:
[-π/2, π/2]
[0, π]
[-1, 1]
[0, 1]
Show Solution
Copy
The range of sin^(-1)(x) is [-π/2, π/2].
Questions & Step-by-step Solutions
1 item
Q
Q: The range of sin^(-1)(x) is:
Solution:
The range of sin^(-1)(x) is [-π/2, π/2].
Steps: 6
Show Steps
Step 1: Understand what sin^(-1)(x) means. It is the inverse sine function, also known as arcsin(x).
Step 2: Know that the sine function (sin) takes an angle and gives a value between -1 and 1.
Step 3: The inverse sine function (sin^(-1)(x)) takes a value between -1 and 1 and gives back an angle.
Step 4: The angles returned by sin^(-1)(x) are limited to a specific range to ensure that each value corresponds to only one angle.
Step 5: The range of angles for sin^(-1)(x) is from -π/2 to π/2 (in radians).
Step 6: Therefore, the range of sin^(-1)(x) is written as [-π/2, π/2].
Related Questions
F
Find the value of tan(45°).
Question: Find the value of tan(45°).Options: 01undefined√3Correct Answer: 1Solution: tan(45°) = 1...
W
What is the derivative of f(x) = x^3 - 3x^2 + 4x - 5?
Question: What is the derivative of f(x) = x^3 - 3x^2 + 4x - 5?Options: 3x^2 - 6x + 43x^2 - 6x2x^2 -..
W
What is the value of 5C2?
Question: What is the value of 5C2?Options: 1020155Correct Answer: 10Solution: 5C2 = 5! / (2!(5-2)!)..
W
What is the value of the limit lim (x -> 0) (sin(5x)/x)?
Question: What is the value of the limit lim (x -> 0) (sin(5x)/x)?Options: 01510Correct Answer: 5Sol..
W
What is the value of sec^(-1)(2)?
Question: What is the value of sec^(-1)(2)?Options: π/3π/4π/60Correct Answer: π/3Solution: sec^(-1)(..
‹
Biology (School & UG)
Chemistry (School & UG)
Civil Engineering
Commerce & Accountancy
Computer Science & IT
Current Affairs & GK
Data Structures & Algorithms
eBooks
Electrical & Electronics Engineering
English (School)
General Aptitude
General Knowledge
General Knowledge & Current Affairs
Languages & Literature
Law & Legal Studies
Major Competitive Exams
Mathematics (School)
Mechanical Engineering
Medical Science
Physics (School & Undergraduate)
Quantitative Aptitude & Reasoning
Social Science (School)
Technical
Verbal and Reasoning
Vocational & Skill Development
›
Soulshift Feedback
×
On a scale of 0–10, how likely are you to recommend
The Soulshift Academy
?
0
1
2
3
4
5
6
7
8
9
10
Not likely
Very likely
✕
↑
