Question
Download Solution PDFThe value of sin 10°- cos 10° is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
sin 10°- cos 10°
Concept:
Use formula cos A - cos B = \(\rm 2sin\left(\frac{A + B}{2}\right)\cdot sin\left(\frac{B - A}{2}\right)\)
Calculation:
sin 10°- cos 10°
= cos (90° - 10° ) - cos 10°
= cos 80° - cos 10°
\(\rm =2sin\left(\frac{80^{\circ} + 10^{\circ}}{2}\right)\cdot sin\left(\frac{10^{\circ} - 80^{\circ}}{2}\right)\)
\(\rm =2sin(45^{\circ})sin(-35^{\circ})\)
\(\rm = -\sqrt2sin(35^{\circ})\)
Hence option (2) is correct
Last updated on Jun 19, 2025
-> The AAI ATC Exam 2025 will be conducted on July 14, 2025 for Junior Executive..
-> AAI JE ATC recruitment 2025 application form has been released at the official website. The last date to apply for AAI ATC recruitment 2025 is May 24, 2025.
-> AAI JE ATC 2025 notification is released on April 4, 2025, along with the details of application dates, eligibility, and selection process.
-> A total number of 309 vacancies are announced for the AAI JE ATC 2025 recruitment.
-> This exam is going to be conducted for the post of Junior Executive (Air Traffic Control) in the Airports Authority of India (AAI).
-> The Selection of the candidates is based on the Computer-Based Test, Voice Test and Test for consumption of Psychoactive Substances.
-> The AAI JE ATC Salary 2025 will be in the pay scale of Rs 40,000-3%-1,40,000 (E-1).
-> Candidates can check the AAI JE ATC Previous Year Papers to check the difficulty level of the exam.
-> Applicants can also attend the AAI JE ATC Test Series which helps in the preparation.