If sec2 α + cos2 α = 5/2 and 0° ≤ α ≤ 90°, then find the value of α.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 45°.
⇒ sec2 α + cos2 α = 5/2
By putting, α = 45°
⇒ sec2 45° + cos2 45° = 2 + 1/2 = 5/2
SSC CGL - 21 April 2022 - Shift 3 • Quantitative Aptitude • Q55
If sec2 α + cos2 α = 5/2 and 0° ≤ α ≤ 90°, then find the value of α.
Correct answer: D
Explanation
The correct answer is option 4 i.e. 45°.
⇒ sec2 α + cos2 α = 5/2
By putting, α = 45°
⇒ sec2 45° + cos2 45° = 2 + 1/2 = 5/2