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Trigonometry › Trigonometric functions: period and extremes › Maximum and minimum

Minimum of a trigonometric sum

High school · ●●●○○ 50 pts

For real numbers xx for which all six functions are defined, find the minimum value of ∣sin⁡x+cos⁡x+tan⁡x+cot⁡x+sec⁡x+csc⁡x∣\left|\sin x+\cos x+\tan x+\cot x+\sec x+\csc x\right|. Round your answer to two decimal places.

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