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SSC CGL 2023 PYQ — Question 59

SSC CGL - 20 July 2023 - Shift 4 • Quantitative Aptitude • Q59

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Find the value of cos41sin49+sin51cos39\frac{cos41}{sin 49} + \frac{ sin 51}{cos 39 }.

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Correct answer: B

Explanation

The correct answer is option 2 i.e. 2.

Given that

The value of cos41sin49+sin51cos39\frac{cos41}{sin 49} + \frac{ sin 51}{cos 39 }

Calculation

= cos41sin49+sin51cos39\frac{cos41}{sin 49} + \frac{ sin 51}{cos 39 }

= cos(90−49)sin49+sin(90−39)cos39\frac{cos(90 - 49)} {sin 49}+ \frac{ sin (90 - 39)} {cos 39 }

= sin49sin49+cos39cos39\frac{sin49}{sin 49} + \frac{ cos 39}{cos 39 }

= 1 + 1 

= 2