• Best of luck to the class of 2025 for their HSC exams. You got this!
    Let us know your thoughts on the HSC exams here

Trigonometry (1 Viewer)

lyounamu

Reborn
Joined
Oct 28, 2007
Messages
9,987
Gender
Male
HSC
N/A
FDownes said:
Time for another question;

A triangle PQR is right-angled at Q. S is the point on PR such that QS is perpendicular to PR. Let angle RPQ = x. You are given that 2PS - QR = PR.

a) Show that 2cosx - tanx = secx.

b) Deduce that 2sin2 + sinx - 1 = 0.

c) Find x.
a) L.H.S. = 2cosx - tanx = 2PS/PQ - QR/PQ = (2PS - QR)/PQ = PR/PQ = secx = R.H.S.
 

lyounamu

Reborn
Joined
Oct 28, 2007
Messages
9,987
Gender
Male
HSC
N/A
Fortian09 said:
hey iyounamu havent seen u for a while
hey, haven't seen you a while too. how you doing in maths?

EDIT: OFF TO ENG, will come back in few hours.
 
Last edited:

Aerath

Retired
Joined
May 10, 2007
Messages
10,167
Gender
Undisclosed
HSC
N/A
tommykins said:
Started getting annoyed that I didn't specify sinx = s and cosx = c. :)
What's with your fraction bars? :p
 

lyounamu

Reborn
Joined
Oct 28, 2007
Messages
9,987
Gender
Male
HSC
N/A
Shit, I nearly slept while doing this quesiton. I am off to bed. To the question, I was solving, first get the sin^2(x) + sinx -1 to the simplified version and get the sin in to prove that it is 0 on one bracket.

Answer to part 3 is pi/6 = 30 degrees.
 

lyounamu

Reborn
Joined
Oct 28, 2007
Messages
9,987
Gender
Male
HSC
N/A
Fortian09 said:
I got more problems for trig.


Given tanA= 1/2 and tanB=-2, where 180<270<B<360. p value the find of<>
(secA-secB)/(cscA-cscB)


given 3sec2 + 6tan2 = 4 and 90<X<180. p value the of Find sinx+tanx.<>

given sinx = 2ab/ a2+b2, where a<0

Given sin2x/(s+7cos2x = 1/9 where 270<X<360. p value the of Find tanx.<>
Thanks for help :D


I will make sure I do this q at 3am. (unless someone comes here and kindly take my place. I am currently in a state of emergency where immediate sleep is required.... I am off.
 

lyounamu

Reborn
Joined
Oct 28, 2007
Messages
9,987
Gender
Male
HSC
N/A
Fortian09 said:
I got more problems for trig.


Given tanA= 1/2 and tanB=-2, where 180<270<B<360. p value the find of<>
(secA-secB)/(cscA-cscB)


given 3sec2 + 6tan2 = 4 and 90<X<180. p value the of Find sinx+tanx.<>

given sinx = 2ab/ a2+b2, where a<0

Given sin2x/(s+7cos2x = 1/9 where 270<X<360. p value the of Find tanx.<>
Thanks for help :D


What am I supposed to find here?
 

Wassup?

Banned
Joined
Jul 31, 2008
Messages
286
Gender
Male
HSC
2008
tommykins said:
Bleah anything to avoid doing English -

Cancels out to make (1+tan³x)/(1-tan³x)

I'll do the next one if you're still struggling, but think about the box a little bit.
Yo, just to let you know, you cannot just cross out parts of a question, you'll lose marks. You can put a very faint line through it, but other than that, and you'll be penalised. I found out the hard way when my teacher took a mark off my paper for doing that.
 

Fortian09

Member
Joined
May 19, 2008
Messages
120
Gender
Male
HSC
2009
I got more problems for trig.

Given tanA= 1/2 and tanB=-2, where 180<270<B<360.
find the value of (secA-secB)/(cscA-cscB)

given 3sec2 + 6tan2 = 4 and 90<x<180.
Find the value of sinx+tanx.

given sinx = 2ab/ a2+b2, where a<0<b and x lies in Quadrant III.
Express cosx and tanx in terms of a and b.

Given sin2x/(s+7cos2x = 1/9 where 270<x<360.
Find the value of tanx.

Thanks for help :D
 

Aerath

Retired
Joined
May 10, 2007
Messages
10,167
Gender
Undisclosed
HSC
N/A
Wassup? said:
Yo, just to let you know, you cannot just cross out parts of a question, you'll lose marks. You can put a very faint line through it, but other than that, and you'll be penalised. I found out the hard way when my teacher took a mark off my paper for doing that.
Er...are you sure?
 

Aplus

Active Member
Joined
Aug 11, 2007
Messages
2,384
Gender
Male
HSC
N/A
I always do that. Never lost marks. Nazi teacher please.
 

Aplus

Active Member
Joined
Aug 11, 2007
Messages
2,384
Gender
Male
HSC
N/A
In fact, it displays a methodology of application of logical thinking in which you present to your marker the way in which you went about answering the question and reaching your end result.
 

tommykins

i am number -e^i*pi
Joined
Feb 18, 2007
Messages
5,718
Gender
Male
HSC
2008
回复: Re: Trigonometry

Wassup? said:
Yo, just to let you know, you cannot just cross out parts of a question, you'll lose marks. You can put a very faint line through it, but other than that, and you'll be penalised. I found out the hard way when my teacher took a mark off my paper for doing that.
No. Just no.
 

lyounamu

Reborn
Joined
Oct 28, 2007
Messages
9,987
Gender
Male
HSC
N/A
Re: 回复: Re: Trigonometry

It may sound irrelevant but I cannot bother creating another thread.

When you find the point of inflexion, do you have to test each side?
 

tommykins

i am number -e^i*pi
Joined
Feb 18, 2007
Messages
5,718
Gender
Male
HSC
2008
Re: 回复: Re: Trigonometry

Yes, for inflextion the concavity changes. Also take note that inflection points don't necessarily mean f'(x) = 0 at that point either.
 

lyounamu

Reborn
Joined
Oct 28, 2007
Messages
9,987
Gender
Male
HSC
N/A
Re: 回复: Re: Trigonometry

tommykins said:
Yes, for inflextion the concavity changes. Also take note that inflection points don't necessarily mean f'(x) = 0 at that point either.
Isn't it f''(x)?

So what the hell is the point like if its f''(x) = 0 but the concavity does not change?
 

Users Who Are Viewing This Thread (Users: 0, Guests: 1)

Top