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Mathematics 8 Online
OpenStudy (haleyelizabeth2017):

Trig help...again :)

OpenStudy (haleyelizabeth2017):

What values for \(\theta~(0\le\theta\le2\pi)\) satisfy the equation?\[cos\theta-tan\theta \cos\theta=0\]

OpenStudy (anonymous):

tan is the same as sin/cos

OpenStudy (anonymous):

(sin/cos)cos simplifies to what

OpenStudy (haleyelizabeth2017):

sin

OpenStudy (anonymous):

correct

OpenStudy (anonymous):

so we have cos - sin = 0

OpenStudy (haleyelizabeth2017):

ah hah

OpenStudy (haleyelizabeth2017):

Still not completely positive on how to finish it....

OpenStudy (anonymous):

us the unit circle

OpenStudy (anonymous):

*use

OpenStudy (haleyelizabeth2017):

Okay...

OpenStudy (haleyelizabeth2017):

Wait...do I find where each equal 0? O.o

OpenStudy (anonymous):

nope

OpenStudy (anonymous):

find where they are both equal to the same thing

OpenStudy (haleyelizabeth2017):

Ah one sec

OpenStudy (haleyelizabeth2017):

Well, 45 and 225

OpenStudy (haleyelizabeth2017):

Are those the only 2?

OpenStudy (anonymous):

keep it in radians

OpenStudy (haleyelizabeth2017):

Oh, sorry. \[\frac{\pi}{4}\] and \[\frac{5\pi}{4}\]

OpenStudy (anonymous):

That's right

OpenStudy (haleyelizabeth2017):

Okay! That it?

OpenStudy (anonymous):

sure is

OpenStudy (haleyelizabeth2017):

Thank you very much :)

OpenStudy (anonymous):

no problem

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