inverse trig graphs (1 Viewer)

[osak23]

i have a few questions for anyone who has time
sketch
y=sin^-1(1/1+x^2)


y=sin(sin^-1 (x) ) - do the sin and inverse sin cancel out to become y=x??

 

[Carrotsticks]

First one: I'm guessing they expect you to use Calculus unless you know how to do Extension 2 Curve sketching.

Second one: You are half right, but you have to take into account domain/range of the inverse sine curve.

 

[osak23]

yeah i think you have to use calculus for the first graph,

will this type of graph ( the first one) be in a typical 3 Unit test or not??

 

[Carrotsticks]

will this type of graph ( the first one) be in a typical 3 Unit test or not??

Yep.

 

[Internet_Police]

Yep.

Ignore this idiot (lol, apparently he is doing maths at university).

It is very unlikely you will get anything like sin^(-1) [ 1/(1+x^2) ] in a 3 unit test.

Most of the time inverse trig will be easy, if it is asked at all.

Standard stuff like

y=2tan^(-1) (x)

y= (1/2) cos^(-1) (3x/2)

y= -5sin^(-1) (x/2)


Those are the sorts you will get in a 3unit exam.

 

[Carrotsticks]

Don't know if you're a troll, or just a very naive student.

There are MANY exams in the form:

"Here is some *very unusual and strange* curve, use Calculus to find Stationary Points etc and hence sketch it".

Yes, they appear in the HSC and yes, they appear in Trials.

 

[bleakarcher]

yeh they actually would. though the exam question would probably go through the methods leading to the sketching of the graph.

 

[Internet_Police]

Don't know if you're a troll, or just a very naive student.

There are MANY exams in the form:

"Here is some *very unusual and strange* curve, use Calculus to find Stationary Points etc and hence sketch it".

Yes, they appear in the HSC and yes, they appear in Trials.

Yeah, but when do they ever involve inverse trig? It's usually some messy fraction (with no other functions applied).

e.g. y= (4x^3+ 3)/ (7x^2 +4x+2)

I have looked through HUNDREDS of trials and have never seen anything similiar. The person asked "will this appear in a typical 3 unit exam" and the answer to that is VERY UNLIKELY.

99% of the time, graphing an inverse trig function is an easy 3marks in the first question or two of the exam.