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Let theta in (0,pi/4) and t(1) = (tan th...

Let `theta in (0,pi/4)` and `t_(1) = (tan theta)^(tantheta)` and `t_(2) = (tan theta)^(cottheta),t_3=(cot theta)^(tan theta)` and `t_4=(cot theta)^(cot theta)`, then :

A

`t_(2) lt t_(1) lt t_(3) lt t_(4)`

B

`t_(4) lt t_(1) lt t_(2) lt t_(3)`

C

`t_(4) lt t_(3) lt t_(2) lt t_(1)`

D

`t_(3) lt t_(4) lt t_(2) lt t_(1).`

Text Solution

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The correct Answer is:
A
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MODERN PUBLICATION-TRIGONOMETRIC RATIOS, IDENTITIES AND EQUATIONS-MULTIPLE CHOICE QUESTION(LEVEL-II)
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