Question
Download Solution PDFIf sin (5x - 25°) = cos(5y + 25°), where 5x - 25° and 5y + 25° are acute angles,then the value of (x + y) is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
sin (5x - 25°) = cos(5y + 25°), where 5x - 25° and 5y + 25° are acute angles,
Concept used:
Sinθ = cos (90°- θ)
Calculation:
As per the question,
sin (5x - 25°) = cos(5y + 25°)
⇒ sin (5x - 25°) = sin 90 - (5y + 25°)
⇒ (5x - 25°) = 90° - (5y + 25°)
⇒ 5x + 5y = 90
⇒ x + y = 90/5
⇒ x + y = = 18°
∴ The correct option is 3
Last updated on Jul 15, 2025
-> 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 UP LT Grade Teacher 2025 Notification has been released for 7466 vacancies.