Question
Download Solution PDFत्रिकोणमितीय सूत्रों का उपयोग करके,
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFप्रयुक्त सूत्र:
Sin (A - B) = sin A × cos B - cos A × sin B
Sin (A + B) = sin A × cos B + cos A × sin B
गणना:
⇒ (sin x × cos y - cos x × sin y)/(sin x × cos y + cos x × sin y) × {(sin x/cos x) + (sin y/cos y)}/{(sin x/cos x) + (sin y/cos y)}
⇒ (sin x × cos y - cos x × sin y)/(sin x × cos y + cos x × sin y) × {(sin x × cos y) + (sin y × cos x/(cos x) × (cos y)}/{(sinx × cos y) + (sin y × cos x)/(cos x) × (cosy)}
⇒ (sin x × cos y - cos x × sin y)/(sin x × cos y + cos x × sin y) × (sin x × cos y) + (siny × cos x)/(sin x × cos y) + (sin y × cos x)
⇒ 1
∴ सही उत्तर 1 है।
Alternate Method गणना:
यदि हम x = 45° और y = 0° रखें तो,
⇒ sin (45 - 0)/sin(45 + 0) × {(tan 45 + tan 0)/(tan 45 - tan 0)}
⇒ sin 45/sin 45 × {(1 + 0)/(1 - 0)}
⇒ 1
∴ सही उत्तर 1 है।
Last updated on Jun 13, 2025
-> The SSC CGL Notification 2025 has been released on 9th June 2025 on the official website at ssc.gov.in.
-> The SSC CGL exam registration process is now open and will continue till 4th July 2025, so candidates must fill out the SSC CGL Application Form 2025 before the deadline.
-> This year, the Staff Selection Commission (SSC) has announced approximately 14,582 vacancies for various Group B and C posts across government departments.
-> The SSC CGL Tier 1 exam is scheduled to take place from 13th to 30th August 2025.
-> Aspirants should visit ssc.gov.in 2025 regularly for updates and ensure timely submission of the CGL exam form.
-> Candidates can refer to the CGL syllabus for a better understanding of the exam structure and pattern.
-> The CGL Eligibility is a bachelor’s degree in any discipline.
-> Candidates selected through the SSC CGL exam will receive an attractive salary. Learn more about the SSC CGL Salary Structure.
-> Attempt SSC CGL Free English Mock Test and SSC CGL Current Affairs Mock Test.
-> Candidates should also use the SSC CGL previous year papers for a good revision.