Question
Download Solution PDFThe principal value of Sin⁻¹ (1/√2)............
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Army Havildar SAC 2025 Mock Paper
Answer (Detailed Solution Below)
Option 3 : π/4
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Detailed Solution
Download Solution PDFConcept:
Inverse Trigonometric Functions – Principal Value:
- Inverse sine function, written as sin⁻¹(x), gives the angle whose sine is x.
- The range (principal value branch) of sin⁻¹(x) is [−π/2, π/2].
- So, sin⁻¹(x) returns only angles in this interval, even if the same sine value occurs elsewhere.
- We are asked to find the principal value of sin⁻¹(1/√2).
Calculation:
Given,
sin⁻¹(1/√2) = ?
⇒ 1/√2 = sin(π/4)
⇒ sin⁻¹(1/√2) = π/4
∴ The principal value of sin⁻¹(1/√2) is π/4.
Last updated on Jul 1, 2025
-> The Indian Army has released the Exam Date for Indian Army Havildar SAC (Surveyor Automated Cartographer).
->The Exam will be held on 9th July 2025.
-> Interested candidates had applied online from 13th March to 25th April 2025.
-> Candidates within the age of 25 years having specific education qualifications are eligible to apply for the exam.
-> The candidates must go through the Indian Army Havildar SAC Eligibility Criteria to know about the required qualification in detail.