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Let t(1)=(sin alpha)^(cos alpha), t(2)=(...

Let `t_(1)=(sin alpha)^(cos alpha), t_(2)=(sin alpha)^(sin alpha), t_(3)=(cosalpha)^(cos alpha), t_(4)=(cosalpha)^(sin alpha)`, where `alpha in (0, (pi)/(4))`, then which of the following is correct

A

`t_(3) gt t_(1) gt t_(2)`

B

`t_(4) gt t_(2) gt t_(1)`

C

`t_(4) gt t_(1) gt t_(2)`

D

`t_(1) gt t_(3) gt t_(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
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