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Find the values of 0 for 27. cos 0 = −1

Find the values of 0 for 27. cos 0 = −1

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Sure, here’s a transcription suitable for an educational website: --- ### Trigonometric Functions and Graphical Representation #### Find each value by referring to the graph of the sine or the cosine function. 19. \(\cos 8\pi\) 20. \(\sin 11\pi\) 21. \(\cos \frac{\pi}{2}\) 22. \(\sin \left(-\frac{3\pi}{2}\right)\) 23. \(\sin \frac{7\pi}{2}\) 24. \(\cos (-3\pi)\) 25. What is the value of \(\sin \pi + \cos \pi\)? 26. Find the value of \(\sin 2\pi - \cos 2\pi\). #### Find the values of \(\theta\) for which each equation is true. 27. \(\cos \theta = -1\) 28. \(\sin \theta = 1\) 29. \(\cos \theta = 0\) 30. Under what conditions does \(\cos \theta = 1\)? #### Graph each function for the given interval. 31. \(y = \sin x, \quad -5\pi \leq x \leq -3\pi\) 32. \(y = \cos x, \quad 8\pi \leq x \leq 10\pi\) 33. \(y = \cos x, \quad -5\pi \leq x \leq -3\pi\) 34. \(y = \sin x, \quad \frac{9\pi}{2} \leq x \leq \frac{13\pi}{2}\) 35. \(y = \cos x, \quad \frac{7\pi}{2} \leq x \leq \frac{3\pi}{2}\) 36. \(y = \sin x, \quad \frac{7\pi}{2} \leq x \leq \frac{11\pi}{2}\) #### Determine whether each graph is \(y = \sin x\), \(y = \cos x\), or neither. Explain. - **Graph 37:** Shows a sine wave-like pattern. Check the amplitude and period to determine if it matches \(\sin x\). - **Graph 38:** Displays several wave
Transcribed Image Text:Sure, here’s a transcription suitable for an educational website: --- ### Trigonometric Functions and Graphical Representation #### Find each value by referring to the graph of the sine or the cosine function. 19. \(\cos 8\pi\) 20. \(\sin 11\pi\) 21. \(\cos \frac{\pi}{2}\) 22. \(\sin \left(-\frac{3\pi}{2}\right)\) 23. \(\sin \frac{7\pi}{2}\) 24. \(\cos (-3\pi)\) 25. What is the value of \(\sin \pi + \cos \pi\)? 26. Find the value of \(\sin 2\pi - \cos 2\pi\). #### Find the values of \(\theta\) for which each equation is true. 27. \(\cos \theta = -1\) 28. \(\sin \theta = 1\) 29. \(\cos \theta = 0\) 30. Under what conditions does \(\cos \theta = 1\)? #### Graph each function for the given interval. 31. \(y = \sin x, \quad -5\pi \leq x \leq -3\pi\) 32. \(y = \cos x, \quad 8\pi \leq x \leq 10\pi\) 33. \(y = \cos x, \quad -5\pi \leq x \leq -3\pi\) 34. \(y = \sin x, \quad \frac{9\pi}{2} \leq x \leq \frac{13\pi}{2}\) 35. \(y = \cos x, \quad \frac{7\pi}{2} \leq x \leq \frac{3\pi}{2}\) 36. \(y = \sin x, \quad \frac{7\pi}{2} \leq x \leq \frac{11\pi}{2}\) #### Determine whether each graph is \(y = \sin x\), \(y = \cos x\), or neither. Explain. - **Graph 37:** Shows a sine wave-like pattern. Check the amplitude and period to determine if it matches \(\sin x\). - **Graph 38:** Displays several wave
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Step 1

Given:- cosθ = -1

Solving for θ i.e.,

 

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