The minimum value of $\cos (\cos x)$ is

JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

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The minimum value of

\cos (\cos x)

View answer and explanation

Correct option: C

\cos 1

Option C (

\cos 1

) is correct because the cosine function is decreasing on the interval [0, 1], and since

\cos x

varies from -1 to 1,

\cos(\cos x)

is minimized when

\cos x

is closest to 1 (in magnitude but negative), which is when

\cos x = 1

\cos x = -1

, so the minimum value is

\cos(1)

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C

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