Explain what does the domain, or input, of a trigonometric function represent? For example, what does the t in the trigonometric function of cos t represent?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.2: Trigonometric Functions Of Angles
Problem 18E
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Explain what does the domain, or input, of a trigonometric function represent? For example, what does the t in the trigonometric function of cos t represent? 

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Solution ) domain or input is a set of real values or interval in which function is define 

Or other words range of real values of input in the function 

In trigonometric function cos t 

t represent the angle or input value 

And domain of the t ∈ (-∞,∞) or R

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