Question
Download Solution PDFIf sin (A + B) = cos (A + B), what is the value of tan A?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
sin (A + B) = cos (A + B)
Formula used:
sin (A + B) = sin A cos B + cos A sin B
cos (A + B) = cos A cos B - sin A sin B
Calculation:
sin (A + B) = cos (A + B)
sin A cos B + cos A sin B = cos A cos B - sin A sin B
sin A cos B + sin A sin B = cos A cos B - cos A sin B
sin A(cos B + sin B) = cos A (cos B - sin B)
sin A/cos A = (cos B - sin B)/(cos B + sin B)
sin A/cos A = (1 - sin B/cos B)/(1 + sin B/cos B)
tan A = (1 - tan B)/(1 + tan B)
∴ Option 1 is the correct answer.
Last updated on Jul 21, 2025
-> NTA has released UGC NET June 2025 Result on its official website.
-> SSC Selection Post Phase 13 Admit Card 2025 has been released at ssc.gov.in
-> The SSC CGL Notification 2025 has been announced for 14,582 vacancies of various Group B and C posts across central government departments.
-> The SSC CGL Tier 1 exam is scheduled to take place from 13th to 30th August 2025 in multiple shifts.
-> Candidates had filled out the SSC CGL Application Form from 9 June to 5 July, 2025. Now, 20 lakh+ candidates will be writing the SSC CGL 2025 Exam on the scheduled exam date. Download SSC Calendar 2025-25!
-> In the SSC CGL 2025 Notification, vacancies for two new posts, namely, "Section Head" and "Office Superintendent" have been announced.
-> 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, with the age limit varying from post to post.
-> The SSC CGL Salary structure varies by post, with entry-level posts starting at Pay Level-4 (Rs. 25,500 to 81,100/-) and going up to Pay Level-7 (Rs. 44,900 to 1,42,400/-).
-> Attempt SSC CGL Free English Mock Test and SSC CGL Current Affairs Mock Test.
-> NTA has released the UGC NET Final Answer Key 2025 June on its official website.