Recent content by W0rr13d-0n3

  1. W

    Implied Dom/Ran = tan(2arcsin(x))

    Ah! Now I'm seeing (to some degree at least), how neglecting the full domain of tan(x) is leading me to my wrong answer.. I hope this attempt is correct now... Homework Statement State the implied domain and range of y= tan(2arcsin(x)) The Attempt at a Solution Let g : [-1,1]...
  2. W

    Implied Dom/Ran = tan(2arcsin(x))

    Fingers crossed... f : R \ {k\pi + \frac{\pi}{2}}, where k \in Z \rightarrow R, f(x) = tan(x)? Homework Statement State the implied domain and range of y= tan(2arcsin(x)) The Attempt at a Solution Let g : [-1,1] \rightarrow [-\pi,\pi] , be the function g(x) = 2arcsin(x) Let f ...
  3. W

    Implied Dom/Ran = tan(2arcsin(x))

    Thanks for that =). I'm always forgetting to show the full domain in my trig functions... But, it seems that I'm still a little stuck with the implied domain =( Homework Statement State the implied domain and range of y= tan(2arcsin(x)) The Attempt at a Solution Let g : [-1,1] \rightarrow...
  4. W

    Implied Dom/Ran = tan(2arcsin(x))

    Homework Statement State the implied domain and range of y= tan(2arcsin(x)) The Attempt at a Solution Let g : [-1,1] \rightarrow [-\pi,\pi] , be the function g(x) = 2arcsin(x) Let f : (-\frac{\pi}{2},\frac{\pi}{2}) \rightarrow R, be the function f(x) = tan(x) So, (f\circg)(x) =...