In the figure below, A ABC ~ AYXZ. Find tan X, cos.X, and sin.X. Round your answers to the nearest hundredth. Y 40.6 29.4 28

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
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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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In the figure below, \( \triangle ABC \sim \triangle YXZ \).

Find \(\tan X\), \(\cos X\), and \(\sin X\).

Round your answers to the nearest hundredth.

**Details of the Triangles:**

- **Triangle \(ABC\):**
  - Side \(AB = 40.6\)
  - Side \(BC = 28\)
  - Side \(CA = 29.4\)
  - Angle \(C\) is a right angle (\(90^\circ\)).

- **Triangle \(YXZ\):**
  - Angle \(Z\) is a right angle (\(90^\circ\)).
  - Triangle is similar to \(\triangle ABC\), meaning corresponding angles are equal and sides are proportional.

The task is to calculate the trigonometric ratios for angle \(X\) using the properties of similar triangles.
Transcribed Image Text:In the figure below, \( \triangle ABC \sim \triangle YXZ \). Find \(\tan X\), \(\cos X\), and \(\sin X\). Round your answers to the nearest hundredth. **Details of the Triangles:** - **Triangle \(ABC\):** - Side \(AB = 40.6\) - Side \(BC = 28\) - Side \(CA = 29.4\) - Angle \(C\) is a right angle (\(90^\circ\)). - **Triangle \(YXZ\):** - Angle \(Z\) is a right angle (\(90^\circ\)). - Triangle is similar to \(\triangle ABC\), meaning corresponding angles are equal and sides are proportional. The task is to calculate the trigonometric ratios for angle \(X\) using the properties of similar triangles.
The image displays a box containing three mathematical equations, each with placeholders for values:

1. \( \tan X = \_\_ \)
2. \( \cos X = \_\_ \)
3. \( \sin X = \_\_ \)

Each equation represents a fundamental trigonometric function, providing an area to input specific values for further computation or illustration.
Transcribed Image Text:The image displays a box containing three mathematical equations, each with placeholders for values: 1. \( \tan X = \_\_ \) 2. \( \cos X = \_\_ \) 3. \( \sin X = \_\_ \) Each equation represents a fundamental trigonometric function, providing an area to input specific values for further computation or illustration.
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