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52. Ө — 6.

52. Ө — 6.

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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How do I solve number 52 step by step?

**Trigonometric Function of a Quadrantal Angle** In Exercises 37–46, evaluate the trigonometric function of the quadrantal angle, if possible. 37. \(\sin 0\) 38. \(\csc \frac{3\pi}{2}\) 39. \(\sec \frac{3\pi}{2}\) 40. \(\sec \pi\) 41. \(\sin \frac{\pi}{2}\) 42. \(\cot 0\) 43. \(\csc \pi\) 44. \(\cot \frac{\pi}{2}\) 45. \(\cos \frac{9\pi}{2}\) 46. \(\tan\left(-\frac{\pi}{2}\right)\) --- **Finding a Reference Angle** In Exercises 47–54, find the reference angle \(\theta'\). Sketch \(\theta\) in standard position and label \(\theta'\). 47. \(\theta = 160^\circ\) 48. \(\theta = 309^\circ\) 49. \(\theta = -125^\circ\) 50. \(\theta = -215^\circ\) 51. \(\theta = \frac{2\pi}{3}\) 52. \(\theta = \frac{7\pi}{6}\) 53. \(\theta = 4.8\) 54. \(\theta = 12.9\) --- **Using a Reference Angle** In Exercises 55–68, evaluate the sine, cosine, and tangent of the angle without using a calculator. (Note: Detailed explanations or any graphs/diagrams related to these instructions are not provided in the image.)
Transcribed Image Text:**Trigonometric Function of a Quadrantal Angle** In Exercises 37–46, evaluate the trigonometric function of the quadrantal angle, if possible. 37. \(\sin 0\) 38. \(\csc \frac{3\pi}{2}\) 39. \(\sec \frac{3\pi}{2}\) 40. \(\sec \pi\) 41. \(\sin \frac{\pi}{2}\) 42. \(\cot 0\) 43. \(\csc \pi\) 44. \(\cot \frac{\pi}{2}\) 45. \(\cos \frac{9\pi}{2}\) 46. \(\tan\left(-\frac{\pi}{2}\right)\) --- **Finding a Reference Angle** In Exercises 47–54, find the reference angle \(\theta'\). Sketch \(\theta\) in standard position and label \(\theta'\). 47. \(\theta = 160^\circ\) 48. \(\theta = 309^\circ\) 49. \(\theta = -125^\circ\) 50. \(\theta = -215^\circ\) 51. \(\theta = \frac{2\pi}{3}\) 52. \(\theta = \frac{7\pi}{6}\) 53. \(\theta = 4.8\) 54. \(\theta = 12.9\) --- **Using a Reference Angle** In Exercises 55–68, evaluate the sine, cosine, and tangent of the angle without using a calculator. (Note: Detailed explanations or any graphs/diagrams related to these instructions are not provided in the image.)
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