We have to find x for 100*sin x - 99*cos x = 0

100*sin x - 99*cos x = 0

=> 100*sin x = 99*cos x

=> sin x / cos x = 99/100

=> tan x = 99/100

=> x = arc tan(99/100)

=> x = 44.71 degrees

As tan x is periodic x can be 44.71 + k*180 degrees

**The required value of x is 44.71 + k*180 degrees**