Question
Download Solution PDFIf sec θ + tan θ = 5, then find the value of tan θ.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
sec θ + tan θ = 5
Concept used:
If sec θ + tan θ = y
then sec θ - tan θ = 1/y
Calculation:
sec θ + tan θ = 5 ----- (1)
then,
sec θ - tan θ = 1/5 ------- (2)
Subtracting the eq. (1) and (2)
⇒ (sec θ + tan θ) - (sec θ - tan θ) = (5 - 1/5)
⇒ sec θ + tan θ - sec θ + tan θ = 24/5
⇒ 2 × tan θ = 24/5
⇒ tan θ = 12/5
∴ The correct answer is 12/5.
Last updated on Jul 9, 2025
-> The SSC CGL Notification 2025 for the Combined Graduate Level Examination has been officially released on the SSC's new portal – www.ssc.gov.in.
-> Bihar Police Admit Card 2025 Out at csbc.bihar.gov.in
-> 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.
-> The AP DSC Answer Key 2025 has been released on its official website.