Question
Download Solution PDFsec x + tan x = 2, find the value of cos x
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
sec2 x - tan2 x = 1
Calculation:
Given sec x + tan x = 2 ....(i)
∵ sec2 x - tan2 x = 1
(sec x + tan x)(sec x - tan x) = 1
2(sec x - tan x) = 1
sec x - tan x = \(1\over 2\) ....(ii)
Adding the equation (i) and (ii)
2 sec x = 2 + \(1\over 2\)
\(\rm{2\over \cos x} = {5\over 2}\)
cos x = \(4\over 5\)
Last updated on Jun 30, 2025
->Indian Airforce Agniveer (02/2026) Notification has been released. Interested candidates can apply between 11th July to 31st July 2025.
->The Examination will be held 25th September 2025 onwards.
-> Earlier, Indian Airforce Agniveer Group X 2025 Last date had been extended.
-> Candidates applied online from 7th to 2nd February 2025.
-> The online examination was conducted from 22nd March 2025 onwards.
-> The selection of the candidates will depend on three stages which are Phase 1 (Online Written Test), Phase 2 ( DV, Physical Fitness Test, Adaptability Test), and Phase 3 (Medical Examination).
-> The candidates who will qualify all the stages of selection process will be selected for the Air Force Group X posts & will receive a salary ranging of Rs. 30,000.
-> This is one of the most sought jobs. Candidates can also check the Airforce Group X Eligibility here.