If tan(90 - ) =, then the value of tan + 1 is:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 4.
tan(90 - θ) = 2/√3
cot θ = 2/√3
⇒ tan θ = √3/2
So, (2√3)tan θ + 1 = (2√3)(√3/2) + 1 = 3 + 1 = 4
SSC CHSL - 11 Aug 2023 - Shift 2 • Quantitative Aptitude • Q60
If tan(90 - ) =, then the value of tan + 1 is:
Correct answer: A
Explanation
The correct answer is option 1 i.e. 4.
tan(90 - θ) = 2/√3
cot θ = 2/√3
⇒ tan θ = √3/2
So, (2√3)tan θ + 1 = (2√3)(√3/2) + 1 = 3 + 1 = 4