For {\i}=1,2,3,4, suppose the points (\cos \theta_i, \sec \theta_i) lie on the boundary of a circle, where \theta_{ {\i}} \in [0, \frac{\pi}{6}) are distinct. Then \cos \theta_1 \cos \theta_2 \cos \theta_3 \cos \theta_4 equals

KEAM 2023 Math Solved Paper

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For i=1,2,3,4, suppose the points (cos‌θi, secθi) lie on the boundary of a circle, where θi∈[0,‌

) are distinct. Then cos‌θ1 cos‌θ2‌cos‌θ3‌cos‌θ4 equals

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