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Mathematics 17 Online
OpenStudy (sammietaygreen):

Solve cos(theta) ≥ sqrt(3)/2 for 0 ≤ theta ≤ 2pi

OpenStudy (xapproachesinfinity):

first try to solve \[\cos (\theta)=\frac{\sqrt{3}}{2}\]

OpenStudy (xapproachesinfinity):

for \[0\le \theta \le 2\pi ~~\text{what values of } \theta~~ \text{give us} \frac{\sqrt{3}}{2}\]

OpenStudy (sammietaygreen):

Solve for theta? I'm not sure what to do

zepdrix (zepdrix):

You don't know your special angles? Hmm that makes this a little more difficult..

zepdrix (zepdrix):

|dw:1450300216980:dw|

zepdrix (zepdrix):

Cosine corresponds to your x-coordinate.

zepdrix (zepdrix):

So we're looking for x-coordinate of sqrt(3)/2

zepdrix (zepdrix):

|dw:1450300253394:dw|

zepdrix (zepdrix):

Looks like that's at these two locations, ya?

zepdrix (zepdrix):

This is going to be a little tricky...

zepdrix (zepdrix):

I was saying that `cosine corresponds to the x-coordinate`. Lemme draw that on the a-xis a sec. Cause we have to travel some distance in the x-direction to get to our point.

zepdrix (zepdrix):

|dw:1450300373170:dw|

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