Evaluating inverse trigonometric functions
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Lessons
- Understanding the Use of Inverse Trigonometric Functions
Find the angles for each of the following diagrams.
Find the angle for the following isosceles triangle.
- Determining the Angles in Exact Values by Using Special Triangles
Find the angles for each of the following diagrams in exact value.
- Application of the Cancellation Laws
Solve the following inverse trigonometric functions:
- Solving Expressions With One Inverse Trigonometry
Solve the following inverse trigonometric functions:
- Evaluating Expressions With a Combination of Inverse and Non-Inverse Trigonometry
Solve the following inverse trigonometric functions:
- Special Cases: Evaluating Functions With Numbers Outside of the Restrictions
Solve the following inverse trigonometric functions:
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Topic Notes
In this lesson, we will learn:
- Application of the Cancellation Laws
- Solving Expressions With One Inverse Trigonometry
- Evaluating Expressions With a Combination of Inverse and Non-Inverse Trigonometry
- Special Cases: Evaluating Functions With Numbers Outside of the Restrictions
Cancellation Laws:
sin−1(sinx)=x, −2π≤x≤2π
sin(sin−1x)=x, −1≤x≤1
cos−1(cosx)=x, 0≤x≤π
cos(cos−1x)=x, −1≤x≤1
tan−1(tanx)=x, −2π≤x≤2π
tan(tan−1x)=x, −∞ < x < ∞
Trigonometric Identity:
cos2θ=cos2θ−sin2θ
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