Alerts Wishlist Cart

Evaluate sin^(-1)(sin(π/4)).

Practice Questions

Q1
Evaluate sin^(-1)(sin(π/4)).
  1. π/4
  2. 3π/4
  3. π/2
  4. 0

Questions & Step-by-Step Solutions

Evaluate sin^(-1)(sin(π/4)).
  • Step 1: Understand what sin(π/4) means. The sine of π/4 (or 45 degrees) is √2/2.
  • Step 2: Now we need to find sin^(-1)(√2/2). This means we are looking for the angle whose sine is √2/2.
  • Step 3: The angle that has a sine of √2/2 is π/4 (or 45 degrees).
  • Step 4: Therefore, sin^(-1)(sin(π/4)) = sin^(-1)(√2/2) = π/4.
  • Inverse Trigonometric Functions – Understanding how the inverse sine function (sin^(-1)) operates within its principal range.
  • Principal Value – Recognizing that the output of sin^(-1)(x) is restricted to the range [-π/2, π/2].
  • Trigonometric Identities – Applying the identity that relates sine and its inverse.
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