The values of x for which min.(sin x, cos x) > min.(– sin x,

Engineering

Mathematics

Basic of Inverse Trigonometric Functions

Question

The values of x for which min.(sin x, cos x) > min.(– sin x, – cos x) where x ∈ (0, 2π) equals

(0, π)

$(\frac{7 π}{4}, 2 π) \cup (0, \frac{3 π}{4})$

$(0, \frac{5 π}{6})$

$(\frac{3 π}{4}, 2 π)$

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Clearly from the graph x ∈ $(0, \frac{3 π}{4}) \cup (\frac{7 π}{4}, 2 π)$

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