The solution of the inequality `"log"_(2) sin^(-1) x gt "log"_(1//2) cos^(-1) x` isA. `x in [0, (pi)/(sqrt2)]`B. `x in ((1)/(sqrt2), 1]`C. `x in (0, (1)/(sqrt2))`D. none of these

The solution of the inequality `"log"_(2) sin^(-1) x gt "log"_(1//2) c

1.	The solution of the inequality `"log"_(2) sin^(-1) x gt "log"_(1//2) cos^(-1) x` isA. `x in [0, (pi)/(sqrt2)]`B. `x in ((1)/(sqrt2), 1]`C. `x in (0, (1)/(sqrt2))`D. none of these
Answer» Correct Answer - C `"log"_(1//2) sin^(-1) x gt "log"_(1//2) cos^(-1) x` `rArr cos^(-1) x gt sin^(-1) x, 0 lt x lt 1` `rArr cos^(-1) x gt (pi)/(2) - cos^(-1) x, 0 lt x lt 1` `rArr cos^(-1) x gt (pi)//(4), 0 lt x lt 1` `rArr 0 lt x lt (1)/(sqrt2)`

`tan^(-1)[(cosx)/(1+sinx)]`is equal to`pi/4-x/2,forx in (-pi/2,(3pi)/2)``pi/4-x/2,forx in (-pi/2,pi/2)``pi/4-x/2,forx in (-pi/2,pi/2)``pi/4-x/2,forx in (-(3pi)/2,pi/2)`
The value of `sin^(-1)(sin12)+sin^(-1)(cos12)=`
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