The smallest positive `x`satisfying the equation `(log)_(cosx)sinx+(lo – InterviewSolution

InterviewSolution

1.	The smallest positive `x`satisfying the equation `(log)_(cosx)sinx+(log)_(sinx)cosx=2`is`pi/2`(b) `pi/3`(c) `pi/4`(d) `pi/6`A. `pi//2`B. `pi//3`C. `pi//4`D. `pi//6`
Answer» Correct Answer - C Let `log_(cos x) sin x=t`, then the given equation is `t+1/t=2` or `(t-1)^(2)=0` or `t=1` or `log_(cos x) sin x=1 or sin x = cos x` `rArr tan x=1` or `x=pi//4`

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