Question
Download Solution PDFIf cot B = 9, then what will be the value of sec2 B?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
cot B = 9
Concept used:
1. cosec2 θ - cot2 θ = 1
2. sin2 θ + cos2 θ = 1
3. sin θ = 1/cosec θ
4. cos θ = 1/sec θ
Calculation:
cot B = 9
⇒ cot2 B = 81
⇒ 1 + cot2 B = 1 + 81
⇒ cosec2 B = 82
⇒ sin2 B = 1/82
⇒ 1 - sin2 B = 1 - 1/82
⇒ cos2 B = 81/82
⇒ sec2 B = 82/81
∴ The value of sec2 B is 82/81.
Last updated on Jul 10, 2025
-> The SSC CGL Application Correction Window Link Live till 11th July. Get the corrections done in your SSC CGL Application Form using the Direct Link.
-> 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.