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Options

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)`

Answer

B

Explanation

As when `thetain(0,(pi)/(4)),tan theta lt cot theta`
Since, `tan theta lt 1 and cot theta gt 1`
`therefore (tan theta)^(cot theta) lt 1 and (cot theta)^(tan theta)gt 1`
`therefore t_(4) gt t_(1)` which only holds in (b).
Therefore, (b) is the answer.