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Let theta in (0,pi/4) and t1=(tan theta)...

Let `theta in (0,pi/4) and t_1=(tan theta)^(tan theta), t_2=(tan theta)^(cot theta), t_3=(cot theta)^(tan theta) and t_4=(cot theta)^(cot theta),` then

A

`t _(1) gt t _(2) gt t_(3) gt t_(4)`

B

`t _(4) gt t _(3) gt t_(1) gt t_(2)`

C

`t _(3) gt t _(1) gt t_(2) gt t_(4)`

D

`t _(2) gt t _(3) gt t_(1) gt t_(4)`

Text Solution

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The correct Answer is:
B
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TARGET PUBLICATION-TRIGONOMETRIC FUNCTIONS -COMPETITIVE THINKING
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