Using a Reference Angle In Exercises55–68, evaluate the sine, cosine, and tangentof the angle without using a calculator.55. 225° 56. 300°57. 750° 58. 675°59. −120° 60. −570°61. 2π3 62. 3π463. −π664. −2π365. 11π4 66. 13π667. −17π6 68. −23π4

Using a Reference Angle In Exercises55–68, evaluate the sine, cosine, and tangentof the angle without using a calculator.55. 225° 56. 300°57. 750° 58. 675°59. −120° 60. −570°61. 2π3 62. 3π463. −π664. −2π365. 11π4 66. 13π667. −17π6 68. −23π4

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter1: Trigonometry

Section1.4: Trigonometric Functions Of Any Angle

Problem 58E

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Question

Using a Reference Angle In Exercises
55–68, evaluate the sine, cosine, and tangent
of the angle without using a calculator.
55. 225° 56. 300°
57. 750° 58. 675°
59. −120° 60. −570°
61. 2π
3 62. 3π
4
63. −π
6
64. −2π
3
65. 11π
4 66. 13π
6
67. −17π
6 68. −23π
4

Figure in plane geometry formed by two rays or lines that share a common endpoint, called the vertex. The angle is measured in degrees using a protractor. The different types of angles are acute, obtuse, right, straight, and reflex.

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