SSC CGL 2017 PYQ — Question 87

SSC CGL Tier II Quant - 12/01/2017 • Quantitative Aptitude • Q87

If sin P + cosec P = 2, then find the value of sin P - cosec P.

Show answer & explanation

Correct answer: D

Explanation

The correct answer is Option 4 i.e. 0.

sin P + cosec P = 2

sin P + 1/sin P = 2

It is in the form of (a + 1/a) = 2 which is possible only when a = 1

Hence,

sin P = 1

So, cosec P = 1

Hence,

sin P - cosec P = 1 - 1 = 0