Evaluating Inverse Trigonometric Functions

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This trigonometry video tutorial provides a basic introduction on evaluating inverse trigonometric functions. It has plenty of examples such as inverse sine, cosine, and tangent functions.

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*Domain of inverse trig functions*
arcsin [-1, 1]
arccos [-1, 1]
arctan (-∞, ∞)

arccsc (-∞, -1] and [1, ∞)
arcsec (-∞, -1] and [1, ∞)
arccot (-∞, ∞)

*Range of inverse trig functions*
arcsin [-π/2, π/2]
arccos [0, π]
arctan (-π/2, π/2)

arccsc [-π/2, π/2]
arcsec [0, π]
arccot (0, π)

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You should note that tan^-1 does not include the pi/2 or -pi/2 for the range, since you would technically be dividing by a zero which is undefined. Therefore, your range for inverse tan is (pi/2, -pi/2), not [pi/2, -pi2].

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