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Match each inverse trigonometric expression to its angle value. sin (1/²) 90° 45° sin¹ (1) cos-¹ (3) 30° 0000 1 1 1 60° ¹ (₁3) tan-1

Match each inverse trigonometric expression to its angle value. sin (1/²) 90° 45° sin¹ (1) cos-¹ (3) 30° 0000 1 1 1 60° ¹ (₁3) tan-1

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter2: Right Triangle Trigonometry
Section: Chapter Questions
Problem 5GP
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Question
### Matching Inverse Trigonometric Expressions to Angle Values The task is to match each inverse trigonometric expression to its corresponding angle value. Below is a description of the expressions and the angle values provided. #### Inverse Trigonometric Expressions: - \( \sin^{-1} \left( \frac{\sqrt{2}}{2} \right) \) - \( \cos^{-1} \left( \frac{\sqrt{3}}{2} \right) \) - \( \tan^{-1} \left( \frac{3}{\sqrt{3}} \right) \) - \( \sin^{-1} (1) \) #### Angle Values: - \( 45^\circ \) - \( 60^\circ \) - \( 90^\circ \) - \( 30^\circ \) #### Diagram: There is a diagram with four empty boxes on the left and four empty boxes on the right. Each box on the left side corresponds to one of the inverse trigonometric expressions, and each box on the right side corresponds to one of the angle values. Arrows are provided to connect each expression on the left to its matching angle on the right. This exercise is designed to test your understanding of inverse trigonometric functions and their relationship to common angle measures. The goal is to correctly identify which angle each inverse trigonometric expression evaluates to.
Transcribed Image Text:### Matching Inverse Trigonometric Expressions to Angle Values The task is to match each inverse trigonometric expression to its corresponding angle value. Below is a description of the expressions and the angle values provided. #### Inverse Trigonometric Expressions: - \( \sin^{-1} \left( \frac{\sqrt{2}}{2} \right) \) - \( \cos^{-1} \left( \frac{\sqrt{3}}{2} \right) \) - \( \tan^{-1} \left( \frac{3}{\sqrt{3}} \right) \) - \( \sin^{-1} (1) \) #### Angle Values: - \( 45^\circ \) - \( 60^\circ \) - \( 90^\circ \) - \( 30^\circ \) #### Diagram: There is a diagram with four empty boxes on the left and four empty boxes on the right. Each box on the left side corresponds to one of the inverse trigonometric expressions, and each box on the right side corresponds to one of the angle values. Arrows are provided to connect each expression on the left to its matching angle on the right. This exercise is designed to test your understanding of inverse trigonometric functions and their relationship to common angle measures. The goal is to correctly identify which angle each inverse trigonometric expression evaluates to.
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