Question
Download Solution PDFयदि sin x =
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
sin x =
प्रयुक्त सूत्र:
sin(x + y) = sin x cos y + cos x sin y
sin2x + cos2x = 1
गणना:
हम जानते हैं कि,
sin2x + cos2x = 1
⇒
⇒
⇒ cos2x =
⇒ cos2x =
⇒ cos x =
⇒ cos x =
चूँकि x दूसरे चतुर्थांश में है।
अतः, cos x ऋणात्मक है।
⇒ cos x =
⇒ sin2y + cos2y = 1
⇒ sin2y = 1 - cos2y
⇒ sin2y =
⇒ sin2y =
⇒ sin2y =
⇒ sin y =
⇒ sin y =
चूँकि y, द्वितीय चतुर्थांश में स्थित है,
तो, sin y धनात्मक है।
⇒ sin y =
अब, sin x, cos x, sin y, cos y का मान रखने पर
⇒ sin (x + y) = sin x cos y + cos x sin y
⇒ sin (x + y) =
⇒ sin (x + y) =
⇒ sin (x + y) =
⇒ sin (x + y) =
∴ sin(x + y) का मान
Last updated on Jun 19, 2025
-> 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.