Inverse Trigonometric Functions

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Inverse Trigonometric Functions
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The arcsin

• y arcsin(x) ?
• 1. sin(y) x and
• 2. -?/2 ? y ? ?/2

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The arccos

• y arccos(x) ?
• 1. cos(y) x, and
• 2. 0 ? y ? ?

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The arctan

• y arctan(x) ?
• 1. tan(y) x, and
• 2. -?/2 lt x lt ?/2

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The arcsec

• y arcsec(x) ?
• 1. sec(y) x, and
• 2. 0 ? y lt ?/2, or
  ?/2 lt y ? ?.

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Derivatives of the Inverse Trig Functions
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Arcsin

• arcsin(x)
• 1/?(1-x2) -1 lt x lt 1

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Arctan

• arctan(x) 1/(1x2) -? lt x lt ?

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Arcsec

• arcsec(x) 1/?x??(x2 1)
  ?x? gt 1