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Properties Derived from Trigonometric Identities

Which of the ...

Question

Which of the following function is strictly increasing on $(0, \frac{π}{2})$ .

cos x

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cos 2x

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cos 3x

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tan x

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Solution

The correct option is D
tan x

$f (x) = t a n x \Rightarrow f^{'} (x) = s e c^{2} x > 0, x ϵ (0, \frac{π}{2})$

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