SSC CPO 2023 PYQ — Question 118

SSC CPO - 04 Oct 2023 - Shift 1 • Quantitative Aptitude • Q118

Find the value of cos⁡370sin⁡530\frac{\cos37^0}{\sin53^0} - cos47° cosec 43°

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 0.

⇒  cos⁡370sin⁡530\frac{\cos37^0}{\sin53^0} - cos47º cosec 43º

⇒ cos⁡370sin⁡(900−370)\frac{\cos37^0}{\sin(90^0 - 37^0)} -  cos (90º - 43º) × (1/sin 43º)

⇒ cos 37º/cos 37º - sin 43º × (1/sin 43º)

⇒ 1 - 1 = 0