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Inverse Trigonometric Functions

Videos and lessons with examples and solutions to help High School students understand that restricting a trigonometric function to a domain on which it is always increasing or always decreasing allows its inverse to be constructed.


Common Core: HSF-TF.B.6

Creating Inverse Trig Functions
Inverse Trigonometric Functions described

Animation: Inverse Sine, Inverse Cosine, and Inverse Tangent
Illustrates why the domain of sine, cosine, and tangent must be restricted to determine their inverses.

Domain and Range of Inverse Trigonometric Functions
The sine, cosine, and tangent functions are not invertible on their natural domains. In order to define the arcsine, arccosine, and arctangent functions, the domains of the sine, cosine, and tangent functions must be restricted to intervals on which each of these functions are one-to-one and thereby invertible. The sliders allow you to restrict their domain while watching the corresponding inverse plots. This approach emphasizes that the inverse plots are functions when the original functions are one-to-one. The range of the inverse trigonometric functions arcsine, arccosine, and arctangent are shown corresponding to the restricted domains of the sine, cosine, and tangent.

Introduction to Inverse Sine, Inverse Cosine, and Inverse Tangent.

Inverse Trig Functions Restrictions.

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You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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