Question
Download Solution PDFIf cosec θ + cot θ = \(\frac{3}{2}\), then what is the value of cosec θ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven :
cosec θ + cot θ = 3/2
Formula used :
cosec2θ - cot2θ = (cosec θ + cot θ)(cosec θ - cot θ) = 1
Calculations :
cosec θ + cot θ = 3/2 ....(1)
cosec θ - cot θ = 2/3 ....(2)
Solving equations 1 and 2 , we get
2cosec θ = 13/6
⇒ cosec θ = 13/12
∴ cosec θ is equal to 13/12.
Last updated on Jul 2, 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.
-> TNPSC Group 4 Hall Ticket 2025 has been released on the official website @tnpscexams.in
-> HSSC Group D Result 2025 has been released on 2nd July 2025.
-> 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.
->The UGC NET Exam Analysis 2025 for June 25 is out for Shift 1.