Question
Download Solution PDFযদি tan A + cot A = 2 হয়, তাহলে 2(tan2 A + cot2 A) এর মান নির্ণয় করুন।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFপ্রদত্ত:
tan A + cot A = 2
গণনা:
প্রশ্নানুসারে,
আমাদের আছে, tan A + cot A = 2
উভয়পক্ষকে বর্গ করে পাই,
⇒ (tan A + cot A)2 = (2)2
⇒ tan2 A + cot2 A + 2(tan A)(cot A) = 4
⇒ tan2 A + cot2 A + 2(tan A)(1/tan A) = 4
⇒ tan2 A + cot2 A + 2 = 4
⇒ tan2 A + cot2 A = 2
অতএব,
2(tan2 A + cot2 A) = 2 × 2
⇒ 4
∴ 2(tan2 A + cot2 A) এর মান হল 4
Shortcut Trickআমরা মান নির্ণয় পদ্ধতির সাথে যেতে পারি,
যদি আমরা A = 45° রাখি তবে এটি tan A + cot A = 2 সমীকরণকে সন্তুষ্ট করে, তাই
2(tan2 A + cot2 A)
⇒ 2(1 + 1)
⇒ 4
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.