SarkariPYQ

SSC CPO 2024 PYQ — Question 118

SSC CPO - 29 June 2024 - Shift 3 • Quantitative Aptitude • Q118

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The value of 17sec2ø+10sin2ø+71+cot2ø\frac{17}{sec^2ø} + 10sin^2ø + \frac{7}{1 + cot^2ø}  is .

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Correct answer: C

Explanation

The correct answer is option 3 i.e. 17.

17sec2ø+10sin2ø+71+cot2ø\frac{17}{sec^2ø} + 10sin^2ø + \frac{7}{1 + cot^2ø}

⇒ 17cos2ø+10sin2ø+7sin2ø{17}{cos^2ø} + 10sin^2ø + {7}{sin^2ø}

 ⇒ 17cos2ø+17sin2ø{17}{cos^2ø} + 17sin^2ø

 ⇒ 17[cos2ø+sin2ø]{17}[{cos^2ø} + sin^2ø ]

 ⇒ 17