For the following exercises, find exact solutions on the interval [0, 27). Look for opportunities to use trigonometric identities. 50. sin² x - cos²x - sin x = 0 53. cos(2x) - cos x = 0 56. sec² x = 7 59. 4cos²x - 4 = 15cos x 62. 6cos²x+7sin x-8=0 65. cos³ t = cos t SECTION EXERCISES 51. sin² x + cos²x = 0 54. 2 tan x 2- sec² x - sin²x = cos²x 57. 10sin x cos x = 6cos x 60. 8sin x + 6sin x+1=0 63. 12sin²t+cost-6=0 52. sin(2x) - sin x = 0 55. 1- cos(2x) = 1 + cos(2x) 58.-3sin t= 15cost sin t 61. 8cos² 0-3-2cos 0 64. tan x= 3sin x
For the following exercises, find exact solutions on the interval [0, 27). Look for opportunities to use trigonometric identities. 50. sin² x - cos²x - sin x = 0 53. cos(2x) - cos x = 0 56. sec² x = 7 59. 4cos²x - 4 = 15cos x 62. 6cos²x+7sin x-8=0 65. cos³ t = cos t SECTION EXERCISES 51. sin² x + cos²x = 0 54. 2 tan x 2- sec² x - sin²x = cos²x 57. 10sin x cos x = 6cos x 60. 8sin x + 6sin x+1=0 63. 12sin²t+cost-6=0 52. sin(2x) - sin x = 0 55. 1- cos(2x) = 1 + cos(2x) 58.-3sin t= 15cost sin t 61. 8cos² 0-3-2cos 0 64. tan x= 3sin x
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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Q 59 , 61 please
![For the following exercises, find exact solutions on the interval \([0, 2\pi]\). Look for opportunities to use trigonometric identities.
**Exercises**
50. \( \sin^2 x - \cos^2 x - \sin x = 0 \)
51. \( \sin^2 x + \cos^2 x = 0 \)
52. \( \sin(2x) - \sin x = 0 \)
53. \( \cos(2x) - \cos x = 0 \)
54. \( \frac{2 \tan x}{2 - \sec^2 x} - \sin^2 x = \cos^2 x \)
55. \( 1 - \cos(2x) = 1 + \cos(2x) \)
56. \( \sec^2 x = 7 \)
57. \( 10 \sin x \cos x = 6 \cos x \)
58. \(-3 \sin t = 15 \cos t \sin t \)
59. \( 4 \cos^2 x - 4 = 15 \cos x \)
60. \( 8 \sin^2 x + 6 \sin x + 1 = 0 \)
61. \( 8 \cos^2 \theta = 3 - 2 \cos \theta \)
62. \( 6 \cos^2 x + 7 \sin x - 8 = 0 \)
63. \( 12 \sin^2 t + \cos t - 6 = 0 \)
64. \( \tan x = 3 \sin x \)
65. \( \cos^3 t = \cos t \)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F44572439-aee9-40a4-8ec4-b1e043de89f6%2Ff99fa029-4735-4d73-8346-cd58df22a7ae%2Fihv070d_processed.jpeg&w=3840&q=75)
Transcribed Image Text:For the following exercises, find exact solutions on the interval \([0, 2\pi]\). Look for opportunities to use trigonometric identities.
**Exercises**
50. \( \sin^2 x - \cos^2 x - \sin x = 0 \)
51. \( \sin^2 x + \cos^2 x = 0 \)
52. \( \sin(2x) - \sin x = 0 \)
53. \( \cos(2x) - \cos x = 0 \)
54. \( \frac{2 \tan x}{2 - \sec^2 x} - \sin^2 x = \cos^2 x \)
55. \( 1 - \cos(2x) = 1 + \cos(2x) \)
56. \( \sec^2 x = 7 \)
57. \( 10 \sin x \cos x = 6 \cos x \)
58. \(-3 \sin t = 15 \cos t \sin t \)
59. \( 4 \cos^2 x - 4 = 15 \cos x \)
60. \( 8 \sin^2 x + 6 \sin x + 1 = 0 \)
61. \( 8 \cos^2 \theta = 3 - 2 \cos \theta \)
62. \( 6 \cos^2 x + 7 \sin x - 8 = 0 \)
63. \( 12 \sin^2 t + \cos t - 6 = 0 \)
64. \( \tan x = 3 \sin x \)
65. \( \cos^3 t = \cos t \)
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