Question
Download Solution PDFIf tan θ + cot θ = 12, then tan2 θ + cot2 θ is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
tan θ + cot θ = 12
Formula used:
(x + 1/x)2 = (x2 + 1/x2) + 2
cot θ = 1/tan θ
Calculation:
tan θ + cot θ = 12
tan θ + 1/tan θ = 12
Square both sides:
(tan θ + 1/tan θ)2 = 122
tan2 θ + 1/tan2 θ = 144 - 2
tan2 θ + cot2 θ = 142
∴ Option 3 is the correct answer.
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.