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Trigonometry - Principal values of inverse trigonometric functions

  1. X 0 \(1 \over 2\) \(\sqrt {2} \over 2\) \(\sqrt {3} \over 2\) 1
    \(arcsin \,x\) \(0^0\) \(30^0\) \(45^0\) \(60^0\) \(90^0\)
    \(arccos \,x\) \(90^0\) \(60^0\) \(45^0\) \(30^0\) \(0^0\)
    x \(-{1 \over 2}\) \(-{\sqrt {2} \over 2}\) \(-{\sqrt {3} \over 2}\) \(-1\)  
    \(arcsin \,x\) \(-30^0\) \(-45^0\) \(-60^0\) \(-90^0\)  
    \(arccos \,x\) \(120^0\) \(135^0\) \(150^0\) \(180^0\)  
    ​
  2. x 0 \(\sqrt 3 \over 3\) 1 \(\sqrt 3\) \(-{\sqrt 3 \over 3}\) -1 \(- \,\sqrt 3\)
    arctan x \(0^0\) \(30^0\) \(45^0\) \(60^0\) \(-30^0\) \(-45^0\) \(-60^0\)
    arccot x \(90^0\) \(60^0\) \(45^0\) \(30^0\) \(120^0\) \(135^0\) \(150^0\)