55. cos 37.5° sin 7.5°

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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#55
46. 11 sin cos
45. 3 cos 4x cos 7x
COS
47-52 Write the sum as a product.
48. sin x - sin 4x
47. sin 5x + sin 3x
50. cos 9x + cos 2x
49. cos 4x – cos 6x
-
51. sin 2x – sin 7x
52. sin 3x + sin 4x
53-58 Find the value of the
oduct or sum.
53. 2 sin 52.5° sin 97.5°.
54. 3 cos 37.5° cos 7.5
55. cos 37.5° sin 7.5°
56. sin 75° + sin 15°
5m
57. cos 255° – cos 195°
58. cos
+ cos
12
12
59-76 Prove the identity.
59. cos 5x – sin? 5x = cos 10x
-
60. sin 8x = 2 sin 4x cos 4x
61. (sin x + cos x)² = 1 + sin 2x
sin 4x
4 cos.rcos2
2 tan x
62.
1+ tan-x
63.
sin x
sin 2x
%3D
Transcribed Image Text:46. 11 sin cos 45. 3 cos 4x cos 7x COS 47-52 Write the sum as a product. 48. sin x - sin 4x 47. sin 5x + sin 3x 50. cos 9x + cos 2x 49. cos 4x – cos 6x - 51. sin 2x – sin 7x 52. sin 3x + sin 4x 53-58 Find the value of the oduct or sum. 53. 2 sin 52.5° sin 97.5°. 54. 3 cos 37.5° cos 7.5 55. cos 37.5° sin 7.5° 56. sin 75° + sin 15° 5m 57. cos 255° – cos 195° 58. cos + cos 12 12 59-76 Prove the identity. 59. cos 5x – sin? 5x = cos 10x - 60. sin 8x = 2 sin 4x cos 4x 61. (sin x + cos x)² = 1 + sin 2x sin 4x 4 cos.rcos2 2 tan x 62. 1+ tan-x 63. sin x sin 2x %3D
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Sin A - Sin B = 2Sin (A-B)/2  . Cos (A+B)/2

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