A right triangle has side lengths 8, 15, and 17 as shown below. Use these lengths to find sin.X, tanX, and cos.X. 8 Y 15 17 X sin. X = tan X = cos.X = 0 Olo X 08

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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**Exercise: Finding Coterminal Angles**

*Objective: Determine angles within specified ranges that are coterminal with given angles.*

(a) **Find an angle between \(0\) and \(2\pi\) that is coterminal with \(-7\pi\).**

(b) **Find an angle between \(0^\circ\) and \(360^\circ\) that is coterminal with \(1170^\circ\).**

*Instructions: Provide exact values for your answers.*

- (a) [ ] radians

- (b) [ ]° 

There is a small input box next to each question to fill in your answer. There is also a mathematical symbol menu shown, which includes options for fraction, \(\pi\), and other symbols to assist in entering your answer.
Transcribed Image Text:**Exercise: Finding Coterminal Angles** *Objective: Determine angles within specified ranges that are coterminal with given angles.* (a) **Find an angle between \(0\) and \(2\pi\) that is coterminal with \(-7\pi\).** (b) **Find an angle between \(0^\circ\) and \(360^\circ\) that is coterminal with \(1170^\circ\).** *Instructions: Provide exact values for your answers.* - (a) [ ] radians - (b) [ ]° There is a small input box next to each question to fill in your answer. There is also a mathematical symbol menu shown, which includes options for fraction, \(\pi\), and other symbols to assist in entering your answer.
A right triangle has side lengths 8, 15, and 17 as shown below. Use these lengths to find \(\sin X\), \(\tan X\), and \(\cos X\).

[Diagram of a right triangle]

The right triangle is labeled with vertices \(Z\), \(Y\), and \(X\). The side opposite angle \(X\), \(ZY\), is labeled 8. The side adjacent to angle \(X\), \(ZX\), is labeled 15. The hypotenuse, \(YX\), is labeled 17.

Calculate the following:

- \(\sin X =\) [Input box]
- \(\tan X =\) [Input box]
- \(\cos X =\) [Input box]
Transcribed Image Text:A right triangle has side lengths 8, 15, and 17 as shown below. Use these lengths to find \(\sin X\), \(\tan X\), and \(\cos X\). [Diagram of a right triangle] The right triangle is labeled with vertices \(Z\), \(Y\), and \(X\). The side opposite angle \(X\), \(ZY\), is labeled 8. The side adjacent to angle \(X\), \(ZX\), is labeled 15. The hypotenuse, \(YX\), is labeled 17. Calculate the following: - \(\sin X =\) [Input box] - \(\tan X =\) [Input box] - \(\cos X =\) [Input box]
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