SSC CPO 2023 PYQ — Question 116

SSC CPO - 03 Oct 2023 - Shift 2 • Quantitative Aptitude • Q116

Find the value of cos65°sin25°{{cos 65°} \over sin25°} + 5sin19°cos71°{{5sin19°} \over cos 71°} - 3cos28°sin62°{{3cos 28°} \over sin62°}

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 3

sin (90 - A) = cos A

⇒  cos65°sin25°{{cos 65°} \over sin25°} + 5sin19°cos71°{{5sin19°} \over cos 71°} - 3cos28°sin62°{{3cos 28°} \over sin62°}

⇒ cos65sin(90−65)+5sin(90−71)cos71−3cos28sin(90−28)\frac{cos 65}{sin(90 - 65)} + 5 \frac{sin(90 - 71)}{cos71} - 3 \frac{cos 28}{sin(90 - 28)}

⇒ 1 + 5 - 3 = 3