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Maths Extension 1 Predictions/Thoughts (1 Viewer)

askit

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As someone who did the e1 hsc last year, don't place too much emphasis on the previous years testing - everyone was weary of another large sample proportion question but we got hit with a nasty vector proof - also look at areas which NESA hasn't tested as much since theres a high likelihood their pop up this year - gud luck :)
 

Hejjwheh23

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As someone who did the e1 hsc last year, don't place too much emphasis on the previous years testing - everyone was weary of another large sample proportion question but we got hit with a nasty vector proof - also look at areas which NESA hasn't tested as much since theres a high likelihood their pop up this year - gud luck :)
So do you know of any areas that nesa hasn't tested a lot?
 

Herbs!

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So do you know of any areas that nesa hasn't tested a lot?
im predicting theres gonna be a pidgeon hole q cause its being removed from the new ex 1 syllabus and they may want to test us on it before it leaves. same with t formula but theyd be the easier questions.
 

zackbekro123

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How do you find domain and range of inverse trig graphs within a trig graph e.g. cos inverse (tanx) or sin(tan inverse x)
 

K1uggie

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How do you find domain and range of inverse trig graphs within a trig graph e.g. cos inverse (tanx) or sin(tan inverse x)
Find the range of the inner function and then apply it to the domain of the outer function
 

C2H6O

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How do you find domain and range of inverse trig graphs within a trig graph e.g. cos inverse (tanx) or sin(tan inverse x)
Firstly know the range of the 'outside' function. for your first example the range of cos^-1 is 0<y<pi. the overall function cos^-1(tanx) can only be defined in this range.

Secondly look at the domain of the 'outside' function, which is -1<x<1. Compare this to the range of the 'inside' function, in this case tanx which is defined for all real y. Now know that cos^-1 will only take in numbers between -1 and 1 as input, so the overall function will only be defined where tanx (the 'input') is between -1 and 1 which we know is between the multiples of pi/4

Just to do your second example, sin is defined for all real x, and y between -1 and 1. tan^-1 all real x and y between -pi/2 and pi/2.
the overall function will have the same range as sin (-1<y<1), and the domain will be defined where x is real (bc numbers between -pi/2 and pi/2 are real)
 

Hejjwheh23

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How do you find domain and range of inverse trig graphs within a trig graph e.g. cos inverse (tanx) or sin(tan inverse x)
Check out this vid from Hok's Tutoring on youtube:


Domain and Range of Composite Functions - Circular Functions
 

shoulfer

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NSB 2022 should be illegal
I did it today its not that bad besides part 3 of that one question with the circle and t , t1, t2 stuff. and I didn't spot the sine rule on part 2 of the final proj mot rest of it is pretty standard stuff
 

realjohnpork

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nesa hasnt really tested on forces or binomial proofs yet right?
They have done a few pulley questions and an 8 mark combinatorics question in 2020 (with like 3 shows) so I wouldn't count them out this year. Perhaps they will do a big thing on vector forces this year (just a thought cuz they havent put much emphasis on it in previous years)
 

Hejjwheh23

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Yo, I know it may be too late but if anyone wants to check this out just incase there is some binomial identity proofs tomorrow. This channel has a 4 part tutorial/lesson on them.

 
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Herbs!

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Yo, I know it may be too late but if anyone wants to check this out just incase there is some binomial identity proofs. This channel has a 4 part tutorial/lesson on them.

last minute study grind :newburn:
 

afourgridbook

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does anyone have tips on managing time during the exam? i always struggle with this and im left with 15-20 mins to complete q14
 

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