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Assume the given point is on the terminal side of an angle in standard position. Determine the exact value of tan 8 of the angle: (43) 0²/1

Assume the given point is on the terminal side of an angle in standard position. Determine the exact value of tan 8 of the angle: (43) 0²/1

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Determine the Value of Tan Θ** *Assume the given point is on the terminal side of an angle in standard position. Determine the exact value of tan Θ of the angle (4,3).* - ○ \( \frac{3}{4} \) - ○ \( \frac{3}{5} \) - ○ \( \frac{4}{3} \) - ○ \( \frac{4}{5} \) **Explanation:** To determine the correct answer, recall that the tangent of an angle in standard position whose terminal side passes through a point (x, y) is given by \( \tan(Θ) = \frac{y}{x} \). Here, the point given is (4, 3), so \( \tan(Θ) = \frac{3}{4} \). Therefore, the correct option is the first one, \( \frac{3}{4} \).
Transcribed Image Text:**Determine the Value of Tan Θ** *Assume the given point is on the terminal side of an angle in standard position. Determine the exact value of tan Θ of the angle (4,3).* - ○ \( \frac{3}{4} \) - ○ \( \frac{3}{5} \) - ○ \( \frac{4}{3} \) - ○ \( \frac{4}{5} \) **Explanation:** To determine the correct answer, recall that the tangent of an angle in standard position whose terminal side passes through a point (x, y) is given by \( \tan(Θ) = \frac{y}{x} \). Here, the point given is (4, 3), so \( \tan(Θ) = \frac{3}{4} \). Therefore, the correct option is the first one, \( \frac{3}{4} \).
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