Question
Download Solution PDF[0, 2π] अंतराल में x के ऐसे सभी मान ज्ञात कीजिए कि sin x = sin 2x?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसंकल्पना-
sin 2x = 2sin x cos x.
गणना-
जैसे कि sin x = sin 2x
⇒ sin 2x - sin x = 0
⇒ 2 sin x cos x - sin x = 0
⇒ sin x (2cos x - 1) = 0
तो या तो sin x = 0 , [0, 2π] अंतराल में, जब x = 0, π, 2π
या 2cos x -1 = 0, अर्थात cos x = \( {1} \over {2}\) [0,2π] अंतराल में, जब x = \(\frac{ π } {3} ,\frac { 5π } {3}\)
∴ [0, 2π] अंतराल में x का कुल मान 5 है।
Last updated on Jul 9, 2025
-> AAI Junior Executive city intimation slip 2025 has been released at the official website.
-> The AAI ATC Exam 2025 will be conducted on July 14, 2025 for Junior Executive..
-> AAI JE ATC recruitment 2025 application form has been released at the official website. The last date to apply for AAI ATC recruitment 2025 is May 24, 2025.
-> AAI JE ATC 2025 notification is released on April 4, 2025, along with the details of application dates, eligibility, and selection process.
-> A total number of 309 vacancies are announced for the AAI JE ATC 2025 recruitment.
-> This exam is going to be conducted for the post of Junior Executive (Air Traffic Control) in the Airports Authority of India (AAI).
-> The Selection of the candidates is based on the Computer-Based Test, Voice Test and Test for consumption of Psychoactive Substances.
-> The AAI JE ATC Salary 2025 will be in the pay scale of Rs 40,000-3%-1,40,000 (E-1).
-> Candidates can check the AAI JE ATC Previous Year Papers to check the difficulty level of the exam.
-> Applicants can also attend the AAI JE ATC Test Series which helps in the preparation.
-> Bihar Police Admit Card 2025 has been released at csbc.bihar.gov.in.