Solving Arccos Problems: 1) arccos x=pi/2 and 2) arccos x=3pi/2

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SUMMARY

The discussion focuses on solving the trigonometric equations arccos x = pi/2 and arccos x = 3pi/2. It is established that arccos is the inverse function of cosine, meaning that if y = arccos(x), then x = cos(y). For the equation arccos x = pi/2, the solution is x = 0, as cos(pi/2) = 0. However, arccos x = 3pi/2 does not yield a valid solution since the range of the arccos function is limited to [0, pi].

PREREQUISITES
  • Understanding of trigonometric functions, specifically cosine and its inverse, arccos.
  • Familiarity with the range and domain of inverse trigonometric functions.
  • Basic knowledge of radians and their application in trigonometry.
  • Ability to manipulate and solve equations involving trigonometric identities.
NEXT STEPS
  • Study the properties of inverse trigonometric functions, focusing on their domains and ranges.
  • Learn how to solve trigonometric equations involving arccos and other inverse functions.
  • Explore the unit circle and its relevance to understanding trigonometric functions and their inverses.
  • Practice solving various trigonometric equations to reinforce understanding of concepts.
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Students learning trigonometry, educators teaching inverse functions, and anyone seeking to improve their problem-solving skills in trigonometric equations.

meowet
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(1)arccos x = pi/2 and (2)arccos x = 3 pi/2







I am new to this trigonometry equation math, and I would glad if someone could give me a site or so that can explain how to solce these equations. however I would be glad if someone could solve these problems for me.. because I have no one to ask

A detailed explanation would be appreciated
 
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Since you haven't shown any attempt to solve them yourself, we don't know what you know or what definitions you are working with. Do you understand that "arccos" is simply the inverse of cosine? Do you understand that if f and f-1 are inverse functions and y= f-1(x), then x= f(y). In other words, the answer is staring you in the face!
 

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