Alerts Wishlist Cart

If sin^(-1)(x) = π/4, what is the value of x?

Practice Questions

Q1
If sin^(-1)(x) = π/4, what is the value of x?
  1. 1/2
  2. √2/2
  3. 1
  4. 0

Questions & Step-by-Step Solutions

If sin^(-1)(x) = π/4, what is the value of x?
  • Step 1: Understand that sin^(-1)(x) means the angle whose sine is x.
  • Step 2: The equation sin^(-1)(x) = π/4 tells us that the sine of some angle is equal to x.
  • Step 3: Recognize that π/4 is a specific angle (45 degrees) in trigonometry.
  • Step 4: Find the sine of π/4. We know that sin(π/4) = √2/2.
  • Step 5: Since sin^(-1)(x) = π/4, we can say that x = sin(π/4).
  • Step 6: Therefore, x = √2/2.
  • Inverse Trigonometric Functions – Understanding how to solve for x when given an inverse sine function.
  • Trigonometric Values – Knowledge of the sine values for common angles, particularly π/4.
Biology (School & UG)
Biology (School & UG)
Chemistry (School & UG)
Chemistry (School & UG)
Civil Engineering
Civil Engineering
Commerce & Accountancy
Commerce & Accountancy
Computer Science & IT
Computer Science & IT
Current Affairs & GK
Current Affairs & GK
Data Structures & Algorithms
Data Structures & Algorithms
eBooks
eBooks
Electrical & Electronics Engineering
Electrical & Electronics Engineering
English (School)
English (School)
General Aptitude
General Aptitude
General Knowledge
General Knowledge
General Knowledge & Current Affairs
General Knowledge & Current Affairs
Languages & Literature
Languages & Literature
Law & Legal Studies
Law & Legal Studies
Major Competitive Exams
Major Competitive Exams
Mathematics (School)
Mathematics (School)
Mechanical Engineering
Mechanical Engineering
Medical Science
Medical Science
Physics (School & Undergraduate)
Physics (School & Undergraduate)
Quantitative Aptitude & Reasoning
Quantitative Aptitude & Reasoning
Social Science (School)
Social Science (School)
Technical
Technical
Verbal and Reasoning
Verbal and Reasoning
Vocational & Skill Development
Vocational & Skill Development
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely