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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Question
Use the figure to write the expression "cos y "in algebraic form given y = arccos x, where 0 < y < 2.
![1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0a5ef3a4-7da5-4ad2-862e-0d2a4fc8858e%2F2db376ce-b048-4293-a713-a4b62ef0c3d2%2Fplgxwz.png&w=3840&q=75)
Transcribed Image Text:1
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1
First we need to find the trigonometric expression of tan y.
From the data given y=cos-1(x)
If y = cos-1(x), then cos(y)=x
As the given triangle is a right angle Triangle, we can establish that
cos(y)= adjacent/hypotenuse = x/1 =x
Now using Pythagoras theorem hypotenuse2=opposite2 +adjacent2
So, 12 = opposite2 + x2
opposite2 = 1 - x2
Opposite= sqrt(1 - x2 )
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