Concept explainers
(a)
Write the formula for the measures of all angles coterminal with the given angle.
(a)
Answer to Problem 23WE
where n is an integer.
Explanation of Solution
Given:
The angle is :
Formula Used:
Two angles in standard position are coterminal if their terminal sides coincide.
So, the measures of all angles coterminal with
where n is an integer.
Calculation:
Given angle :
So, the formula for the measures of all angles coterminal with the given angle is
where n is an integer.
(b)
Give two angles , one positive and one negative , that are coterminal with the given angle.
(b)
Answer to Problem 23WE
Explanation of Solution
Given:
The angle is :
From part (a), we have ,
The measures of all angles coterminal with
where n is an integer.
Calculation:
The positive angle coterminal with
The negative angle coterminal with
Chapter 12 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
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