SSC CGL 2019 PYQ — Question 39

SSC CGL Tier II Quant - 11/09/2019 • Quantitative Aptitude • Q39

What is the value of cosec(65° + θ) – sec(25° - θ) + tan220° - cosec270° ?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. -1.

= cosec(65° + θ) – sec(25° - θ) + tan220° - cosec270°

= cosec(65° + θ) – cosec{90° - (25° - θ)} + tan220° - cosec270°

= cosec(65° + θ) – cosec(65° + θ) + tan220° - cosec270°

= tan220° - sec220°

= -1