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VCE Stuff => VCE Mathematics => VCE Mathematics/Science/Technology => VCE Subjects + Help => VCE Mathematical Methods CAS => Topic started by: Aqualim on September 21, 2009, 09:50:15 am

Title: Trig Application Question
Post by: Aqualim on September 21, 2009, 09:50:15 am
Hey,
I'm having a bit of trouble with the question attached below.

By the way the equation for the sine graph is; 2sin(3x)+2

I'm thinking that for question (f) that i would just type the equation into the CAS calc under the derivitive function and get an answer, i think i was 6cos(3x) or something.

OR

Do I draw the graph of the original function, then mark a tangent point at pi/3, and write down the equation of that point
Title: Re: Trig Application Question
Post by: cobby on September 21, 2009, 10:36:07 am
Hey,
I'm having a bit of trouble with the question attached below.

By the way the equation for the sine graph is; 2sin(3x)+2

I'm thinking that for question (f) that i would just type the equation into the CAS calc under the derivitive function and get an answer, i think i was 6cos(3x) or something.

OR

Do I draw the graph of the original function, then mark a tangent point at pi/3, and write down the equation of that point

It says find the gradient at that point, so I assume you wouldn't have to show it on the graph itself. Just plug it into the calculator and state the answer.







Title: Re: Trig Application Question
Post by: Aqualim on September 21, 2009, 10:53:21 am
alright cheers, also for question (g)
would it just be;




Title: Re: Trig Application Question
Post by: Flaming_Arrow on September 21, 2009, 10:54:20 am
alright cheers, also for question (g)
would it just be;






since the gradient is negative

180 - tan^-1(6)
Title: Re: Trig Application Question
Post by: Aqualim on September 21, 2009, 10:59:02 am
alright cheers, also for question (g)
would it just be;






since the gradient is negative

180 - tan^-1(6)

wouldn't it also be included in the 4th quadrant, instead of just the 2nd?
Title: Re: Trig Application Question
Post by: Flaming_Arrow on September 21, 2009, 11:36:34 am
alright cheers, also for question (g)
would it just be;






since the gradient is negative

180 - tan^-1(6)

wouldn't it also be included in the 4th quadrant, instead of just the 2nd?

na, in this case you want the angle that the line makes with the POSITIVE x axis