If tanα = 6, then secα equals to:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. √37.
Given, tanα = 6
sec2α - tan2α = 1
⇒ sec2α = 1 + tan2α
⇒ sec2α = 1 + 36
⇒ sec2α = 37
⇒ secα = √37
SSC CGL - 25 July 2023 - Shift 1 • Quantitative Aptitude • Q62
If tanα = 6, then secα equals to:
Correct answer: C
Explanation
The correct answer is option 3 i.e. √37.
Given, tanα = 6
sec2α - tan2α = 1
⇒ sec2α = 1 + tan2α
⇒ sec2α = 1 + 36
⇒ sec2α = 37
⇒ secα = √37