Question
Download Solution PDFIf Sin θ = \(\frac{4}{5}\), find the value of tan θ - Cot θ.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Sin θ = 4/5
Formula used:
tan θ = P/B ; cot θ = B/P
By Pythagorean theorem:
⇒ H2 = P2 + B2
Where, P = perpendicular ; B = base ; H = hypotenuse
Calculation:
Sin θ = 4/5 = P/H
By Pythagorean theorem:
⇒ H2 = P2 + B2
⇒ 52 = 42 + B2
⇒ B2 = 52 - 42
⇒ B = √(25 - 16) = √9
⇒ B = 3
tan θ - Cot θ
⇒ (P/B) - (B/P)
⇒ (4/3) - (3/4) = (16 - 9)/12
⇒ 7/12
∴ The correct answer is 7/12.
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.