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Direction: Read the following text and answer the following questions on the basis of the same:
The value of an inverse trigonometric functions which lies in the range of Principal branch is called the principal value of that inverse trigonometric functions.
Principal value of sin–1 (½) is
  • a)
    π/6
  • b)
    π/3
  • c)
    π/4
  • d)
    π/2
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Direction: Read the following text and answer the following questions...
Sin-1(½) = y
sin y = ½
Principal value branch of sin–1 is (-π/2, π/2)
and sin(π/6) = ½
⇒ Principal value of sin-1(½) is π/6.
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Most Upvoted Answer
Direction: Read the following text and answer the following questions...

Explanation:

Principal Value of sin^-1 (½) = π/6

- The principal value of an inverse trigonometric function is the value that lies within the range of the principal branch.
- For sin^-1 (x), the principal branch is in the range of -π/2 to π/2.
- When sin^-1 (½) is evaluated, it represents the angle whose sine is ½.
- The sine of π/6 is indeed ½, making it the principal value for sin^-1 (½).
- Therefore, the principal value of sin^-1 (½) is π/6.

In this question, as sin^-1 (½) corresponds to the angle whose sine is ½, which is π/6, option 'A' (π/6) is the correct answer.
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Direction: Read the following text and answer the following questions on the basis of the same:The value of an inverse trigonometric functions which lies in the range of Principal branch is called the principal value of that inverse trigonometric functions.Principal value of sin–1 (½) isa)π/6b)π/3c)π/4d)π/2Correct answer is option 'A'. Can you explain this answer?
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Direction: Read the following text and answer the following questions on the basis of the same:The value of an inverse trigonometric functions which lies in the range of Principal branch is called the principal value of that inverse trigonometric functions.Principal value of sin–1 (½) isa)π/6b)π/3c)π/4d)π/2Correct answer is option 'A'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Direction: Read the following text and answer the following questions on the basis of the same:The value of an inverse trigonometric functions which lies in the range of Principal branch is called the principal value of that inverse trigonometric functions.Principal value of sin–1 (½) isa)π/6b)π/3c)π/4d)π/2Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Direction: Read the following text and answer the following questions on the basis of the same:The value of an inverse trigonometric functions which lies in the range of Principal branch is called the principal value of that inverse trigonometric functions.Principal value of sin–1 (½) isa)π/6b)π/3c)π/4d)π/2Correct answer is option 'A'. Can you explain this answer?.
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