SSC CPO 2019 PYQ — Question 128

SSC CPO Tier I - 13th December 2019 - Shift 2 • Quantitative Aptitude • Q128

If  then what is the value of (secθ + cosecθ + cotθ)? 

Show answer & explanation

Correct answer: A

Explanation

The correct answer is Option 1 i.e. 2 + √3

Application

Here let θ = 60 

[{(1/2)/(1 - √3/2)} + {(1/2)/(1 + √3/2)}]

= 4

Means value of θ = 60 is certified

(secθ + cosecθ + cotθ)

= 2 + 2/√3 + 1/√3

= (2√3 + 2 + 1)/√3

= (2√3 + 3)/√3

= 2 + √3