SarkariPYQ

SSC CHSL 2023 PYQ — Question 60

SSC CHSL - 08 Aug 2023 - Shift 1 • Quantitative Aptitude • Q60

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Find the value of cos225°−sin265°cos225°+sin265°cos^2 25°-sin^265°\over{cos^2 25°+sin^265°} :

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Correct answer: D

Explanation

The correct answer is option 4 i.e. 0.

Given, cos225°−sin265°cos225°+sin265°cos^2 25°-sin^265°\over{cos^2 25°+sin^265°}

⇒ cos225°−sin2(90°−25°)cos225°+sin2(90°−25°)cos^2 25°-sin^2(90° - 25°)\over{cos^2 25°+sin^2(90° - 25°)}

⇒ cos225°−cos225°cos225°+cos225°cos^2 25°-cos^225°\over{cos^2 25°+cos^225°} = 0