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anonymous
 one year ago
What values for (posted below) satisfy the equation?
anonymous
 one year ago
What values for (posted below) satisfy the equation?

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0the first attachment fills in the blank, the second one follows the sentence

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0factor out the common factor of cosine first and start with \[\cos(x)(1\tan(x))=0\] then set each factor equal to zero and solve

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0you good from there?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I have no clue how to factor these problems

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i factored it for you

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0How do I get to the final answer?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0each term had a common factor of cosine don't get hung up on the fact that they are functions if you wanted to factor say \[xxy\] you would no doubt come up with \[x(1y)\] right away

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0suppose the question said "solve for \(x\) and \(y\) \(xxy=0\)" what would you do?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0hmm no \[xxy=0\\ x(1y)=0\\ x=0\text {or } 1y=0\\ x=0,y=1\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok im so lost lol sorry

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0you have the same kind of question here, but instead of \(x\) and \(y\) you have \(\cos(x)\) and \(\tan(x)\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0maybe because you are hung up on the trig? lets forget trig for a moment

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i mean we still have to worry about that at the end, but not at the beginning at the beginning we only need to use the "zero property" or whatever that is called, i.e. factor the expression and set each factor equal to zero that is step one

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yeah thats probably the problem, im learning though lol

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so we start by factoring the expression \[\cos(x)\cos(x)\tan(x)\] is it clear that each term has a cosine in it?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok as the math teachers say "factor it out" i.e. write that expression in factored form what do you get ? (hint: it is the very first thing i wrote above)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\cos (x)\cos (x)\tan (x)\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0that is the expression BEFORE it is factored factor out the common factor of cosine then what does it look like ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok that was my example with x and y how about with cosine and tangent?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok now we have it with x and y repeat with cosine instead of x and tangent instead of y

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0start with \[\cos(x)(1\tan(x))=0\] that is the factored form then set each factor equal to zero and solve for \(x\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0do you see how i arrived at \[\cos(x)(1\tan(x))=0\]?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0no, i don't know how to do any of this sadly

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0opps didnt meant to put that

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i am sure you didn't the first step is algebra, not trig

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0to find X you have to eliminate all the other factors in the equation so that X stands alone

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0the first step is to factor then next step is to set each factor equal to zero and solve so if \[\cos(x)(1tan(x))=0\] then either \[\cos(x)=0\] or \[1\tan(x)=0\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0do you know the values of \(x\) for which \[cos(x)=0\]?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0not to be mean, but did you just guess?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0no, it is not \(\pi\) \[\cos(\pi)=1\] not zero

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I was looking at the first part of the equation that i put in above, where it says 2pi, but yes it was kind of a guess

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0lets not guess, lets find it look at the unit circle on the last page of the attached cheat sheet you will see lots of coordinates corresponding the the different angles the first ordinate is cosine, the second is sine

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0find the two places on the unit circle where the first coordinate is zero then find angle corresponding to those points let me know when you see them

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\frac{ \pi }{ 2}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0that is one of them, there is one more

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\frac{ 3\pi }{ 2}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0that means \[\cos(\frac{\pi}{2})=0\]and \[\cos(\frac{3\pi}{2})=0\]so those are two of your four answers

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0now on to tangent we need to solve \[1\tan(x)=0\]i.e. \[\tan(x)=1\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0please don't post possible answers we will find them

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0we already have two of the four \[\frac{\pi}{2},\frac{3\pi}{2}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0OH im just posting in general cuz my school is crazy and sometimes the REAL answer is an option

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0next we need to solve \[\tan(x)=1\] any ideas? (no is a fine answer)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\frac{ \pi }{ 4 } and \frac{ 5\pi }{ 4 }\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yes, not sure how you got that, but it is right

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0my brother helped me find that awhile ago, i gave up on this question weeks ago ha,

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0final answer to your question is four numbers \[\frac{\pi}{2},\frac{3\pi}{2},\frac{\pi}{4},\frac{5\pi}{4}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\frac{\pi}{4}\]and \[\frac{5\pi}{4}\] are the two places one the unit circle where cosine and sine are equal you can look at your cheat sheet and see it

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0since \[\tan(x)=\frac{\sin(x)}{\cos(x)}\] tangent will be one if sine and cosine are equal

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yay, thank you so much for helping me figure out the final answer!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0C is the correct answer?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\frac{ \pi }{ 4} and \frac{ 5\pi }{ 4}\]
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