Help with a problem required =D

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Homework Help Overview

The problem involves solving the equation cos(x)sin(x) - 0.25cos(x) = 0 for the range 0° ≤ x ≤ 360°. The original poster expresses confusion and difficulty in approaching the problem, indicating a lack of clarity on how to proceed.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to use a calculator to find values of x but feels stuck and overwhelmed. They consider the relevance of sum and difference formulas for sine and cosine. Another participant suggests using the distributive property to simplify the equation.

Discussion Status

Participants are exploring different interpretations of the equation. One participant clarifies that the equation can be factored, leading to a potential simplification. There is no explicit consensus yet, but some guidance has been offered regarding the use of algebraic properties.

Contextual Notes

The original poster mentions feeling lost and having difficulty connecting the problem to the next section of their textbook, which may indicate a gap in foundational understanding or missing information relevant to the problem.

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cos(x)sin(x) - .25cos(x) = 0 for 0° ≤ x ≤ 360°We had a problem thrown up today just before we left and asked to attempt it tonight. But I have been staring at the problem for over an hour now, and all I've gotten is being able to plug it into the calculator and finding the values of X when Y = 0, lol and that was when I started attempting it..

I'm completely lost and the next section of the book doesn't really help me out. I know I'm missing something completely obvious, but I'm brainfarting bad.

I was assuming it had something to do with Sum and difference formulas for sine and cosine which is the next section in the book, but the more I look at it, the harder my head is pounding, and honestly I'm just about to give up on it and bring in the calculator with the answers. lol.

Thanks for any help you guys can give..
 
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This is actually easier than you think. How might the distributive property help?
 
Sorry for the other posts, firefox or the internet or something sent the post response thing more than once.. Oh well.. lol
 
roadspill said:
Sorry for the other posts, firefox or the internet or something sent the post response thing more than once.. Oh well.. lol

I think I got the right reply moved into the right thread for you since the other one got a response before you edited.
 
Moonbear said:
I think I got the right reply moved into the right thread for you since the other one got a response before you edited.

Yup, thanks.
 
Now, Tedjn's point is that sin(x)cos(x)- 0.25 cos(x)= 0 is the same as cos(x)(sin(x)- 1)= 0. What does that tell you?
 
HallsofIvy said:
Now, Tedjn's point is that sin(x)cos(x)- 0.25 cos(x)= 0 is the same as cos(x)(sin(x)- 1)= 0. What does that tell you?
uhm you mean cos(x)(sin(x)- 0,25)= 0, right?
 

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