Question
Download Solution PDFIf cosec θ + cot θ = 2, then what is the value of cosec θ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
cosec θ + cot θ = 2
Concept used:
1. cosec2 θ - cot2 θ = 1
2. a2 - b2 = (a + b)(a - b)
Calculation:
cosec θ + cot θ = 2 ....(1)
According to the concept,
cosec2 θ - cot2 θ = 1
⇒ (cosec θ - cot θ)(cosec θ + cot θ) = 1
⇒ 2(cosec θ - cot θ) = 1
⇒ (cosec θ - cot θ) = 1/2 ....(2)
Solving (1) and (2), cosec θ = \(\frac{5}{4}\)
∴ The value of cosec θ is \(\frac{5}{4}\).
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.