Inverse Trigonometric Functions

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Define Inverse Trigonometric Functions.

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Inverse trigonometric functions are functions that return the angle whose trigonometric function value is a given number. They are denoted as sin^{-1}(x), cos^{-1}(x), and tan^{-1}(x) for sine, cosine, and tangent respectively.

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CCSS.HSF.TF.B.7

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What is the range of the inverse sine function (sin^{-1})?

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The range of the inverse sine function is [-π/2, π/2].

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CCSS.HSF-BF.B.4D

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CCSS.HSF.TF.B.7

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CCSS.HSF.TF.B.7

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CCSS.HSF.TF.B.7

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What is the range of the inverse cosine function (cos^{-1})?

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The range of the inverse cosine function is [0, π].

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CCSS.HSF-BF.B.4D

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0.

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CCSS.HSF.TF.B.7

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What is the domain of the inverse tangent function (tan^{-1})?

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The domain of the inverse tangent function is all real numbers (-∞, ∞).

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What is the relationship between sin^{-1}(x) and cos^{-1}(x)?

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CCSS.HSF.TF.C.8

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CCSS.HSF.TF.B.7