The principal value of Sin⁻¹ (1/√2)............

This question was previously asked in
Army Havildar SAC 2025 Mock Paper
View all Army Havildar SAC Papers >
  1. π/2
  2. π/3
  3. π/4
  4. π

Answer (Detailed Solution Below)

Option 3 : π/4
Free
Army Havildar SAC - Quick Quiz
2 K Users
5 Questions 10 Marks 6 Mins

Detailed Solution

Download Solution PDF

Concept:

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.

Latest Army Havildar SAC Updates

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. 

Get Free Access Now
Hot Links: teen patti master gold download teen patti sweet teen patti apk teen patti real cash withdrawal teen patti master king