Question
Download Solution PDF\(\rm \sqrt{\frac{1+sinA}{1-sinA}} =\) ________.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
\(\rm \sqrt{\frac{1+sinA}{1-sinA}} \)
Concept Used:
The concept of conjugation is used here
Calculation:
⇒ \(\rm \sqrt{\frac{1+sinA}{1-sinA}} \)
Now, Conjugate the above equations
⇒ \(\rm {\sqrt{\frac{1+sinA}{1-sinA} \times \rm {\frac{1+sinA}{1+sinA}}}}\)
⇒ \(\rm \sqrt{\frac{(1+sinA)^2}{1-sin^2A}}\)
⇒ \(\rm \sqrt{\frac{(1+sinA)^2}{cos^2A}}\)
⇒ \(\rm {\frac{(1+sinA)}{cosA}}\)
⇒ \(\frac{1}{ cos A} +\frac{sin A}{ cosA}\)
⇒ sec A + tan A
⇒ Hence, Value of the given part is sec A + tan A
Last updated on Jun 25, 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.
->The UGC NET Exam Analysis 2025 for June 25 is out for Shift 1.