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Trigonometry - Graphs of inverse trigonometric functions

  1. Inverse Sine Function 
    \(y=arcsin \, x\, ,-1\leq x\leq 1, - {x \over 2} \leq arcsin \leq {\pi \over 2}.\)
  2. Inverse Cosine Fucnction 
    \(y=arccos \, x, -1 \leq x \leq ,0\leq arccos \, x\leq \pi \, .\)
  3. Inverse Tangent Function 
    \(y=arctan \, x , - \infty \leq x\leq \infty , - {\pi \over 2 } < arctan \, x < {\pi \over 2 }.\)
  4. Inverse Cotangent Function 
    \(y=arccot \, x , - \infty \leq x \leq \infty, 0 <arccot \, x < \pi .\)
  5. Inverse Secant Function 
    \(y=arcsec \, x , x \in (- \infty, -1 ] \cup [ 1, \infty ), arcsec \, x \in \bigg [ 0, {\pi \over 2 } \bigg ) \bigg ( {\pi \over 2 }, \pi \bigg ]\)
  6. Inverse Cosecant Function 
    \(y=arccsc \, x , x \in (- \infty, -1 ] \cup [ 1, \infty ), arccsc \, x \in \bigg [ {-{\pi \over 2}, 0 } \bigg ) \bigg ( {\pi \over 2} , \pi \bigg ]\)