Let θ ∊ (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 [JEE Adv 2006 P1]

Correct Answer is : t4>t3>t1>t2

IIT JEE Advanced 2006 Paper 1

Section: Mathematics

Question : 91 of 120

Marks: +1, -0

Let θ ∊ (0,

) and t1 = (tanθ)tanθ , t2 = (tanθ)cotθ , t3 = (cotθ)tanθ and t4 = (cotθ)cotθ , then

[JEE Adv 2006 P1]

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