What is the value of \sec 2 \gamma ? [NDA I 2023]

Correct Answer is : 5+sin2α3−sin2α

\frac{3- \sin 2 \alpha}{5+2 \sin 2 \alpha}

\frac{5+ \sin 2 \alpha}{3- \sin 2 \alpha}

\frac{3-2 \sin 2 \alpha}{4+ \sin 2 \alpha}

\frac{3- \sin 2 \alpha}{4+3 \sin 2 \alpha}

UPSC NDA I 2023 Mathematics Solved Paper

Consider the following for the next two (02) items that follow :
Let sin‌β be the GM of sin‌α and cos‌α;tan‌γ be the AM of sin‌α and cos‌α.

[NDA I 2023]

Question : 32 of 120

Marks: +1, -0

What is the value of sec2γ?

[NDA I 2023]

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