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B.Stat & B.Math 2022 - Q8

Source: Indian Statistical Institute (ISI) - B.Stat & B.Math Entrance 2022

May 8, 2022

isiIndian Statistical Institute2022trigonometryalgebrainequalities

Problem Statement

Find the minimum value of

\big|\sin x+\cos x+\tan x+\cot x+\sec x+\operatorname{cosec}x\big|

for real numbers

x

not multiple of

\frac{\pi}{2}