Unit Circle

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michelleyx143

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Should the unit circle be committed to memory for the DAT?

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You should know the basics, because there are a few (1-3) trig questions that are related to unit circle.
I can derive/memorize most of the unit circle except for the radians of the last quadrant. Should that be sufficient? I feel like most of the questions will be regarding the first two quadrants from what I've seen
 
I can derive/memorize most of the unit circle except for the radians of the last quadrant. Should that be sufficient? I feel like most of the questions will be regarding the first two quadrants from what I've seen
I think so. You can do a google search if you want to refresh your memory on trig ratios in a unit circle.
 
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It's hit or miss but there are some good YouTube videos about the unit circle. If you can memorize the unit circle coordinates the day before your test (it's not as hard as it looks, a lot of the fractions repeat themselves) and quickly jot it down before your qr it might help, but there's no way to know how many questions they ask on it
 
Should the unit circle be committed to memory for the DAT?


There's no need to memorize the entire unit circle. Here's an easy way to know in which quadrant is the angle located;

First you need to know the basic angles in the first quadrant: π/6 π/4 π/3 and know their sine cosine etc...
If any other angle is given look at the numerator and denominator.
If the the numerator is less than the denominator by 1 you're in the 2nd quadrant.
For example: 2π/3. 3π/4. 5π/6. 7π/8. Etc....

If the numerator is greater than the denominator by 1 you're in 3rd quadrant.
For example: 5π/4. 7π/6. 4π/3. 11π/10. Etc.....

If the numerator is greater than the denominator by more than 1 you're in the 4th quadrant.
For example: 5π/3. 7π/4. 8π/5. Etc....

Be careful with the last case. If the angle is more than 2π that will bring you back to other quadrants.
For example 7π/3 will bring you back to the first quadrant.
In a case like this just subtract 2π.
7π/3 - 2π = π/3. Which is in the first quadrant.

Hope this helps..
 
There's no need to memorize the entire unit circle. Here's an easy way to know in which quadrant is the angle located;

First you need to know the basic angles in the first quadrant: π/6 π/4 π/3 and know their sine cosine etc...
If any other angle is given look at the numerator and denominator.
If the the numerator is less than the denominator by 1 you're in the 2nd quadrant.
For example: 2π/3. 3π/4. 5π/6. 7π/8. Etc....

If the numerator is greater than the denominator by 1 you're in 3rd quadrant.
For example: 5π/4. 7π/6. 4π/3. 11π/10. Etc.....

If the numerator is greater than the denominator by more than 1 you're in the 4th quadrant.
For example: 5π/3. 7π/4. 8π/5. Etc....

Be careful with the last case. If the angle is more than 2π that will bring you back to other quadrants.
For example 7π/3 will bring you back to the first quadrant.
In a case like this just subtract 2π.
7π/3 - 2π = π/3. Which is in the first quadrant.

Hope this helps..

Thank you so much! This was very helpful!
 

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