1.

If `log_(0.5) sin x=1-log_(0.5) cos x,` then the number of solutions of `x in[-2pi,2pi]` is

Answer» Correct Answer - 2
`log_(0.5) sin x=1-log_(0.5) cos x, x in [-2pi, 2pi]`
`sin x gt 0` and `cos x gt 0`
`sin x cos x=1//2`
`:. sin 2x=1`
therefore, there are 2 value of x.


Discussion

No Comment Found