The task is to find the sine, cosine, and tangent of angle β in a right triangle, where side \( a = 5 \) ft and side \( b = 8 \) ft. These trigonometric functions should be presented with both their exact values and their approximate values (accurate to three or more decimal places). The instruction provides an example for entering complex expressions: for \( 3 \frac{\sqrt{5}}{7} \), type "3sqrt(5)/7". ### Diagram: - It’s a right triangle with angle β. - Side \( a \) (opposite the angle β) is 5 ft. - Side \( b \) (adjacent to the angle β) is 8 ft. - Hypotenuse \( c \) is not given and should be calculated using the Pythagorean theorem. ### Trigonometric Values to Find: **Exact values:** - \( \sin \beta = \) - \( \cos \beta = \) - \( \tan \beta = \) **Approximate values:** - \( \sin \beta \approx \) - \( \cos \beta \approx \) - \( \tan \beta \approx \) Below the text fields for the values, there is a "Submit Question" button to check your answers.

The task is to find the sine, cosine, and tangent of angle β in a right triangle, where side \( a = 5 \) ft and side \( b = 8 \) ft. These trigonometric functions should be presented with both their exact values and their approximate values (accurate to three or more decimal places). The instruction provides an example for entering complex expressions: for \( 3 \frac{\sqrt{5}}{7} \), type "3sqrt(5)/7". ### Diagram: - It’s a right triangle with angle β. - Side \( a \) (opposite the angle β) is 5 ft. - Side \( b \) (adjacent to the angle β) is 8 ft. - Hypotenuse \( c \) is not given and should be calculated using the Pythagorean theorem. ### Trigonometric Values to Find: Exact values: - \( \sin \beta = \) - \( \cos \beta = \) - \( \tan \beta = \) Approximate values: - \( \sin \beta \approx \) - \( \cos \beta \approx \) - \( \tan \beta \approx \) Below the text fields for the values, there is a "Submit Question" button to check your answers.

Trigonometry (11th Edition)

11th Edition

ISBN:9780134217437

Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Chapter1: Trigonometric Functions

Section: Chapter Questions

Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.

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