How to CRUSH Free Response Question 4 on the AP Precalculus Exam

***in the example for section B part i the (x + 1) should be raised to the 4th power. Sorry!!!
This video explains exactly what the 4th free response question on the AP Precalculus exam will look like and how you can ace it!
If you like learning from my videos over AP precalculus take a look at the Ultimate Review Packet for AP Precalculus. It has everything you need to prepare for unit tests and quizzes in class as well as prepare for the AP Precalculus exam. The Ultimate Review Packet has study guides over the topics with TONS of practice problems. It also has practice free response questions that are modeled exactly like the FRQs that will be on the exam, and much more. Check out with the link below.
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[@quantumrelativity2731]

The exam is 1hr away… Either we’re cooked or we cook 👨‍🍳

[@cosmicproductions309]

I’m with u bruh, it’s over for us 😭

[@heathschumann2866]

we might be cooked

[@akemi457]

godspeed soldiers

[@goroakechii2978]

HELPPPOP

[@RX-eq7ye]

Understood.

[@TheRealStrangeV]

8:40 is the (x+1) supposed to be (x+1)^4

[@mporinchak]

you are right! I Missed that. I will fix and adjust! Thanks!

[@lexic1371]

that’s what i was thinking lol

[@scala_xl]

Was about to mention that lol

[@ishaankhatri9826]

Exams in 30 min think I’m cooked

[@pekkepo4198]

Same

[@rouleit5131]

Thank you so much for all your videos! They’ve been really helpful to me.

[@laurengerenser]

this eats

[@prythal]

this frq cooked me, the frqs especially the 4th were so hard 😭

[@prythal]

@@realleochang fr

[@prythal]

@@realleochang yep

[@someonesomewheresometime111]

Hi sir! Can you explain why you did not add 2pi*n to the last problem? I understand that it is an inverse trig function, but what is the rule for inverse trig functions and multiple values of x?

[@mporinchak]

X is not an angle. That’s why. Try to think of another value for x that makes original equation true. Or add 2pi and see if that new answer works. It won’t

[@Toying_1]

In the last problem, could you explain why x = - (root(15))/(5pi) isn't an answer? I got this by using 5pi/3 instead of pi/3 so when I got to the tangent section the sin value was negative resulting in a negative answer.

[@jacobreising5204]

I thought the same thing

[@explodiosbs8827]

You can't use 5pi/3 because even though that would be a solution, I was taught for inverse cosine graphs you only look for solutions in the top 2 quadrants (quad I & II) so you only get one answer

[@explodiosbs8827]

I hope that makes sense and helps, I am not the best explainer. For inverse tan and inverse sin, however, you use Quad I and Quad IV to find that singular answer

[@mporinchak]

Cosine inverse of 1/2 can only have one solution pi/3 based on the restrictions put on inverse cosine

[@mporinchak]

This video explains it Inverse Sine EXPLAINED!!! AP Precalculus Topic 3.9 kzbin.info/www/bejne/qJeufmSbh72Io9E

[@comicstanz2990]

For the last problem part c would that one have an infinite number of possible answers as well so you would need to add the 2pi*n as well or does this one only have the one solution?

[@mporinchak]

just the only solution since it is an inverse trig function

[@supernovic99]

Even when you change an inverse trig into trig try to think abt the graph. It still has its limitations of -pi/2 to pi/2 so the answer will be limited as well

[@aurekswiatlowski2845]

bro fucked up his math at like 8:30 haha

[@Pe1ayo]

exam in 2 hours chat

[@supernovic99]

For question 3 we can use fractions for the period or coordinates as well right

[@mporinchak]

Yes fractions will be fine

[@godforever9357]

I think you forgot to add, "+ 2pi k" for the last question involving tangent

[@mporinchak]

No there is only one answer since it is an inverse tangent function.

[@sowmyarana3950]

Hi sir! I wanted to ask if writing the domain limitations for the log rewriting questions or anything where the answer ends up being a fraction is a mandatory thing? Like if I don’t do it will I get no points? Thank you!

[@mporinchak]

For what I have read and seen they will not be asking for the domains in these problems. Just asking to simply and rewrite

[@sowmyarana3950]

Thanks a much for clearing it up..my teacher has been giving me 0s because I didn’t put the domain limitation, only the right answer

[@lukasfritsch9007]

For part C do I need to provide both answers you circled? Or just one of those solutions showing the domain? Thanks

[@lukasfritsch9007]

at 17:19 being the first example of a part C question

[@stop2659]

For the first problem I simplified 79/3 to 26.333, do you think that still counts? might be a stupid question.

[@mporinchak]

Should be fine. But it’s a no calculator section so fractions are fine

[@MaggieV.H]

In part B, when you were simplifying the logarithm into a single log, why did you not put the coefficient of 4 as an exponent?

[@mporinchak]

I totally forgot. I’m the video description I corrected myself. Sorry!!

[@tallest_wookie1842]

15:27 doesnt inverse sine mean that the only acceptable values are from the right half of the unit circle? therefore, wouldn't 2pi/3 not be a solution?

[@Noah-ko9cm]

Did u end up figuring it out, Im wondering the same thing lol.

[@christian-vt2yo]

yes but this isnt an inverse sine problem. arcsin will only take values from [-pi/2, pi/2] but if it is something like sin(x) = √3/2, then this includes both pi/3 and 2pi/3 since sin(x) itself doesnt have those restrictions.

[@christian-vt2yo]

@@Noah-ko9cm just answered the question lmk if it helps

[@Noah-ko9cm]

@@christian-vt2yo Appreciate it, unforunately I forgot to check youtube after I woke up lol