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SSC CGL 2026 PYQ — Question 10

SSC CGL Tier II - 19 Jan 2026 - Shift 1 • Quantitative Aptitude • Q10

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What is the value of 32(cos⁡39∘sin⁡51∘)−sin⁡239∘+sin⁡251∘\frac{3}{2} \left(\frac{\cos39^\circ}{\sin 51^\circ}\right) -\sqrt{\sin^2 39^\circ +\sin^2 51^\circ}

 

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Correct answer: A

Explanation

The correct answer is Option 1 i.e. 121\over2.

32(cos⁡39∘sin⁡51∘)−sin⁡239∘+sin⁡251∘\frac{3}{2} \left(\frac{\cos39^\circ}{\sin 51^\circ}\right) -\sqrt{\sin^2 39^\circ +\sin^2 51^\circ}

=32(cos⁡39∘cos⁡39∘)−sin⁡239∘+cos⁡239∘=\frac{3}{2} \left(\frac{\cos39^\circ}{\cos 39^\circ}\right) -\sqrt{\sin^2 39^\circ +\cos^2 39^\circ}

=32−1=\frac{3}{2} -\sqrt{1}

= 3/2 - 1

= 1/2