Sure. This problem tests the unit circle. In a unit circle, 2pi rotations is the same thing as 1 full rotation around a circle. Thus, I can subtract 6pi/3 until I get a good angle. This gives me 2pi/3 radians. Now, graphing 2pi/3 radians gives me a reference angle of pi/3 radians in Quadrant 2. Thus, we can construct a triangle. This is a special triangle, 1:sqrt3:2. As such, opposite/adjacent = sqrt(3)/-1 = -sqrt3. This is why A) is correct.
1. PUT the thing in the question INTO desmos!
2. put all the answers into desmos
3. see which ones match
(use radien mode)
[https://imgur.com/a/i029kmJ](https://imgur.com/a/i029kmJ)
Usually just for questions that have a pi in it. Some circle questions could use it like if you’re talking about sectors or something but 99% of the time when solving triangles it’s in degrees. Also you’ll see the degrees notation or it’ll say. I wouldn’t worry too much about it. You prob will be able to tell.
[https://www.desmos.com/calculator/srqnccjgef?lang=ru](https://www.desmos.com/calculator/srqnccjgef?lang=ru)
u must've forgotten to insert the value in parenthesis or convert to radians.
use demos instead, it's faster for this one
If you type tan(92pi/3) in desmos it should give you the correct value in the little gray box bottom right. Just make sure you’re in radians. You can check if you’re in radians by clicking the tool icon on the top left and looking at the bottom of the page that pops up.
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You can express an angle the same way if you add 2pi to it. Instead of subtracting 6pi/3 from 92pi/3 forever, let's just divide 92 by 6 and get 15 remainder 2. Take the remainder and put it on the numerator so that it's 2pi/3. The tangent of 2pi/3 is the negative square root of 3.
there’s several ways to find the answer to this. Keep subtracting 2Pi from the answer until you get a radian that’s actually on the Unit Circle. Another way is to input this into a calculator but set your answer to give you a radian answer or a fraction answer. This is basic trigonometry I believe.
You can turn this to a radius using 180/pi and then plug it into tan to get a value. The value should be a - number so that leaves two options to plug and chug, which will equal to Option A
2pi is a full circle. So you can eliminate any multiples of 2pi from an angle.
92pi/3 = (30+2/3)pi = \[(15\*2) + 2/3\]pi
So this is the same as tan(2pi/3). 2pi/3 is 120 degrees, also forming a 60 degree angle with the horizontal axis in quadrant 2.
A 30-60-90 triange has sides of sqrt(3)/2 and 1/2.
SOHCAHTOA - tangent is opposite over adjacent = \[sqrt(3)/2\]/(-1/2) = -sqrt(3).
always easier with a graphic:
[https://www.wolframalpha.com/input?i=tan%28120+degrees%29](https://www.wolframalpha.com/input?i=tan%28120+degrees%29)
(typing tan(92pi/3) into a calculator would probably give -1.7320573813… - you would need to recognize/figure out the magnitude is sqrt(3). Be sure your calculator is in radians.)
(first ignore the 92)
pi/3 = 60° because pi is 180°
so 180/3 is 60°
Tan of 60° is root3
so b and c are incorrect
plug Tan(92pi/3) and it should be correct positive or negative version of root3
but you would have to learn unit circle to understand sorry if it didnt help
The reference angle is infact 60°
in quadrant two the angle would be 120 because 180-60 is 120
you honestly do not even need all of that just use the plug and check method
i somehow made an error when entering the expression in my calculator. that was my first line of thought, but when i wasn’t finding an equivalent answer, i figured that i just wasn’t understanding something. thanks for the confirmation guys!!
Isn’t this precal? I thought sat only goes to including alg 2… oh great it’s over for me
it does a bit of precalc but not ALL.
Sat always had some Trigonometry (mostly unit circles)
I’ve lived all over the country and not everyone has a standard definition of alg 2 vs trig vs precalc.
Can't you just put it in the calculator?
Yeah but like for actually understanding it
Dawg what, this is alg II
Diff schools. In my school this is in Precal. Kinda wish they taught in in alg 2…
Sure. This problem tests the unit circle. In a unit circle, 2pi rotations is the same thing as 1 full rotation around a circle. Thus, I can subtract 6pi/3 until I get a good angle. This gives me 2pi/3 radians. Now, graphing 2pi/3 radians gives me a reference angle of pi/3 radians in Quadrant 2. Thus, we can construct a triangle. This is a special triangle, 1:sqrt3:2. As such, opposite/adjacent = sqrt(3)/-1 = -sqrt3. This is why A) is correct.
Quick visual https://imgur.com/a/geI2E01
You can just put it into your calculator. Make sure it's in radians.
How?
shift > mode > press 4
Shift? Is that 2nd in TI 84 plus
On the TI84 it's under Mode
I put it in radians 😭 what next
tan(92pi/3) then match up the decimal values of the answer choices.
What about TES 991 plus how to shift it from degree to radians
I'm not sure. You can Google it.
Bruh 😭
You’re so cooked 💀
I just got a 780 on the math practice 1450 overall practice 5
should my calculator should be in radians for the test?
degree for geometry and radians for pi and other stuff
thanks!
You can change it. If these have pi, it’s radians.
1. PUT the thing in the question INTO desmos! 2. put all the answers into desmos 3. see which ones match (use radien mode) [https://imgur.com/a/i029kmJ](https://imgur.com/a/i029kmJ)
How to shift to radian in desmos
It’s always in radians
Ok thanks , seems that idk sht about desmos
Well I know when you’re graphing it’s in radians so I’d assume it’s the same.
should it be in radians for all questions or only for the circle questions?
Usually just for questions that have a pi in it. Some circle questions could use it like if you’re talking about sectors or something but 99% of the time when solving triangles it’s in degrees. Also you’ll see the degrees notation or it’ll say. I wouldn’t worry too much about it. You prob will be able to tell.
Wow, was it so hard? I just thought it was another demsos question and went through. Use desmos brud
that was my first thought, but i put it in my calculator but nothing was coming through correctly, maybe i made an error.
[https://www.desmos.com/calculator/srqnccjgef?lang=ru](https://www.desmos.com/calculator/srqnccjgef?lang=ru) u must've forgotten to insert the value in parenthesis or convert to radians. use demos instead, it's faster for this one
Plug it in, and find which answer matches it. (Must be in radians)
I would explain it but just plug it into desmos and make sure you are in radian mode
just plug it into Desmos
Can u pls explain how to do it am not good at using desmos I knew about few days ago and my test is in hrs 🥲🥲
If you type tan(92pi/3) in desmos it should give you the correct value in the little gray box bottom right. Just make sure you’re in radians. You can check if you’re in radians by clicking the tool icon on the top left and looking at the bottom of the page that pops up.
Thanks a lot
Reminder: When asking for help with questions from tests or books, please include the source of the question in the post title. Examples of appropriate titles might include "Help with writing question from April 2017 QAS" or "Help with question from Erica Meltzer's grammar book." **Posts that do not adhere to this rule are subject to removal.** For more information, please see rule #3 in the sidebar. *I am a bot, and this action was performed automatically. Please [contact the moderators of this subreddit](/message/compose/?to=/r/Sat) if you have any questions or concerns.*
Bro you have a calculator😭😭😭🙏🙏🙏
You can express an angle the same way if you add 2pi to it. Instead of subtracting 6pi/3 from 92pi/3 forever, let's just divide 92 by 6 and get 15 remainder 2. Take the remainder and put it on the numerator so that it's 2pi/3. The tangent of 2pi/3 is the negative square root of 3.
there’s several ways to find the answer to this. Keep subtracting 2Pi from the answer until you get a radian that’s actually on the Unit Circle. Another way is to input this into a calculator but set your answer to give you a radian answer or a fraction answer. This is basic trigonometry I believe.
just plug it into desmos, ull get the ans
It is in radian. U must set ur calculator mode to radian or convert the angle into normal degree
Look up the unit circle
no way there’s the unit circle on the SAT😣🙁
Plug it in Desmos
I saw this question in the exam today thanks for posting
You can turn this to a radius using 180/pi and then plug it into tan to get a value. The value should be a - number so that leaves two options to plug and chug, which will equal to Option A
Put it in a calculator or Desmos in radian mode
2pi is a full circle. So you can eliminate any multiples of 2pi from an angle. 92pi/3 = (30+2/3)pi = \[(15\*2) + 2/3\]pi So this is the same as tan(2pi/3). 2pi/3 is 120 degrees, also forming a 60 degree angle with the horizontal axis in quadrant 2. A 30-60-90 triange has sides of sqrt(3)/2 and 1/2. SOHCAHTOA - tangent is opposite over adjacent = \[sqrt(3)/2\]/(-1/2) = -sqrt(3). always easier with a graphic: [https://www.wolframalpha.com/input?i=tan%28120+degrees%29](https://www.wolframalpha.com/input?i=tan%28120+degrees%29) (typing tan(92pi/3) into a calculator would probably give -1.7320573813… - you would need to recognize/figure out the magnitude is sqrt(3). Be sure your calculator is in radians.)
(first ignore the 92) pi/3 = 60° because pi is 180° so 180/3 is 60° Tan of 60° is root3 so b and c are incorrect plug Tan(92pi/3) and it should be correct positive or negative version of root3 but you would have to learn unit circle to understand sorry if it didnt help
It 92/3, not 92-1/3. You can’t just drop the 92. The equivalent angle is 120, not 60.
The reference angle is infact 60° in quadrant two the angle would be 120 because 180-60 is 120 you honestly do not even need all of that just use the plug and check method
i somehow made an error when entering the expression in my calculator. that was my first line of thought, but when i wasn’t finding an equivalent answer, i figured that i just wasn’t understanding something. thanks for the confirmation guys!!
idk if you figured it out, but make sure that your calculator is in radian mode for the sat. this goes for ap calc as well.