<— #2
w=0.5 rads/s
v=7in/s
Angular speed in degrees
w=28.6degrees/s
seen from Malaysia
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seen from Malaysia

seen from Hungary
seen from Singapore

seen from Hungary

seen from Hungary
seen from South Korea

seen from Tunisia

seen from China

seen from Hungary
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seen from Malaysia

seen from United States
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<— #2
w=0.5 rads/s
v=7in/s
Angular speed in degrees
w=28.6degrees/s
<— #1 answer
w= (3pi)rads/s
v=(9pi)ft/s
Rough Pages Unit 30
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Rough Pages Unit 30
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Rough Pages Unit 30
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Rough Pages Unit 30
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<— Return to Unit 30 [Part 1]
Rough Pages [WIP]
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30.1
Unit Circle Knowledge
Topics
Radian-Degree Conversion
General knowledge
Shortcut
Scenic route
——————-
General Knowledge
Angle measurement
Rads or radians (ie. Pi, 3.14)
Degrees
Coordinate in ratios (+ or -)
Paired as (x, y) aka…
——————————————
#1) Shorcut
Know:
Special triangles
1st quad: degrees, rads, (x,y)
Other quads: diff strategy
Special triangles
Soh cah toa + special triangle = 1st quad of unit circle
Good for sin, cos, tan
Pi/6
Pi/3
Pi/4
I found the unit circle easier for remember sin, cos and tan of the other big guys
Remembering Angle Order
Note: i define “knowing spots” as knowing denominator of the radian, not to exact (ie. Knowing pi/4 angle in the 3rd quarant’s smack in the middle but it’s okay to not know it’s 3pi/4 without doing some arithmetic).
[1] Identify 0, pi/2, pi, 2pi ( + degrees)
[2] Know pi/4 spots (dotted lines)
[3] Know pi/3 and pi/6 spots (dotted lines)
The big thing when 1st taking Trig is to memorize the bare minimum, akin to knowing how to build a boat versus having 20 boats always on hand.
This way you leave room for strategizing problems. Memorizing the whole unit circle is more a thing math majors only do. Rest of us just find out trigs to adding or subtracting numbers from what we know to get the rest.
Last Thing
Not necessary but I found it helped
?Pi/3 leads with 1/2
?Pi/6 leads with sqrt(3)/2
Also….
Pi/3 only holds hands with it’s own
So does pi/6
This refers to when crossing between quadrants.
In general, keep an eye out for patterns and adapt your strategy to what suits you and your needs. What suites one person may be ill-fitting for another. Maybe memorizing the whole unit circle is easier than having mnemonic techniques and funny visuals. *shrugs* you know your mind best.
—————————————-
#2 Scenic Route
Aka. Memorize degrees, radians, coordinates
Usually after do shortcuts
Memory practice
Recite 0-360 degrees
Recite 0- 2pi (radians)
Recite radians & their coordinates
I find it’s easiest to do this somewhere
Comfortable (ie temperature)
Quiet
Few people around
Eyes closed
I find that allows my full focus to remain on the visual.
…
The main perks of memorizing the unit circle is it doesn’t take alot of notecards (just 2) so you can do it anywhere and once you know it, it makes solving shit alot faster since you can refer to that mental map.
It also eliminates the need for radian to degrees conversions so if you’re like me, and basic arithmetic is a pain in the ass, then this can help you avoid bookkeeping mistakes.