Textbook Question
Fill in the blank(s) to correctly complete each sentence.
An equilateral triangle has _________________ equal sides.
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Ch. 1 - Trigonometric Functions
Lial12th EditionTrigonometryISBN: 9780136552161
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Table of contents
- Ch. R - Algebra Review381
- Ch. 1 - Trigonometric Functions188
- Ch. 2 - Acute Angles and Right Triangles168
- Ch. 3 - Radian Measure and The Unit Circle155
- Ch. 4 - Graphs of the Circular Functions100
- Ch. 5 - Trigonometric Identities238
- Ch. 6 - Inverse Circular Functions and Trigonometric Equations158
- Ch. 7 - Applications of Trigonometry and Vectors148
- Ch. 8 - Complex Numbers, Polar Equations, and Parametric Equations15
Chapter 2, Problem 1
CONCEPT PREVIEW Fill in the blank to correctly complete each sentence. One degree, written 1°, represents ____________ of a complete rotation.
Verified step by step guidance1
Understand that a complete rotation corresponds to 360 degrees, which means 360° represents one full turn around a circle.
Recognize that the problem asks for the fraction of a complete rotation that one degree (1°) represents.
Express the fraction as the ratio of one degree to the total degrees in a full rotation: \(\frac{1}{360}\).
Interpret this fraction as one degree being one three-hundred-sixtieth of a full rotation.
Therefore, complete the sentence by stating that 1° represents \(\frac{1}{360}\) of a complete rotation.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Degree as a Unit of Angle Measurement
A degree (°) is a unit used to measure angles, representing a fraction of a full rotation. One complete rotation around a point is divided into 360 equal parts, each called one degree.
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Reference Angles on the Unit Circle
Full Rotation in Degrees
A full rotation corresponds to 360 degrees, meaning that an angle of 360° represents one complete turn around a circle or point.
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5:04Converting between Degrees & Radians
Fractional Representation of Angles
Angles can be expressed as fractions of a full rotation; for example, 1° is 1/360 of a complete rotation, showing how degrees quantify parts of a circle.
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4:02Solving Linear Equations with Fractions
Related Practice
Textbook Question
CONCEPT PREVIEW Fill in the blank(s) to correctly complete each sentence. Given tan θ = 1/cot θ , two equivalent forms of this identity are cot θ = 1/______ and tan θ . ______ = 1 .
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Textbook Question
Fill in the blank(s) to correctly complete each sentence.
The sum of the measures of the angles of any triangle is ________________ .
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Textbook Question
Fill in the blank(s) to correctly complete each sentence.
An isosceles right triangle has one ________________ angle and ______________ equal sides.
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Textbook Question
Give the measures of the complement and the supplement of an angle measuring 35° .
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