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Question: The number of solution of log<sub>sinx</sub>2<sup>tanx</sup>\> 0 in the interval \(\left( 0,\frac{\...

The number of solution of logsinx2tanx> 0 in the interval

(0,π2)\left( 0,\frac{\pi}{2} \right) is

A

0

B

1

C

2

D

3

Answer

0

Explanation

Solution

logsinx 2tanx > 0 sinx > 0 sinx ¹ 1

0 < sin x < 1 in (0,π2)\left( 0,\frac{\pi}{2} \right)

2tanx < 1 (not possible)

\ No solution