Question
Download Solution PDFIf 2 Cot x = 5, then what is \(\frac{2 \operatorname{Cos} x-\operatorname{Sin} x}{2 \operatorname{Cos} x+\operatorname{Sin} x}\) equal to?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCalculation :
\(\frac{2 \operatorname{Cos} x-\operatorname{Sin} x}{2 \operatorname{Cos} x+\operatorname{Sin} x}\)
⇒ sinx(2cotx - 1)/sinx(2cotx + 1)
⇒ (2cotx - 1)/(2cotx + 1)
⇒ (2 × 5/2 - 1)/(2 × 5/2 + 1)
⇒ (5 - 1)/(5 + 1)
⇒ 4/6 = 2/3
∴ The correct answer is 2/3.
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.