SSC CHSL 2023 PYQ — Question 63

SSC CHSL - 08 Aug 2023 - Shift 1 • Quantitative Aptitude • Q63

The value of cos65°sin25°cos65°\over{sin25°} + cos55°sin35°cos55°\over{sin35°}- tan50°cot50° is equal to:

Show answer & explanation

Correct answer: D

Explanation

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

Given, cos65°sin25°cos65°\over{sin25°} + cos55°sin35°cos55°\over{sin35°} - tan50°cot50°

⇒ cos65°sin(90°−65°)cos65°\over{sin(90° - 65°)} + cos55°sin(90°−55°)cos55°\over{sin(90° - 55°)} - 1

⇒ cos65°cos65°cos65°\over{cos 65°} + cos55°cos55°cos55°\over{cos55°} - 1

⇒ 1 + 1 - 1 = 1