Trigonometric Results (1 Viewer)

Avenger6

Member
Joined
Feb 16, 2008
Messages
66
Gender
Male
HSC
2008
Hi, guys I was doing some revision today and came across these trigonometric results questions and I must have skipped the lesson becuase I have no idea on what I have to do to solve them. Any help on solving the following is greatly appreciated:

4) Simplify the following:
 

Trebla

Administrator
Administrator
Joined
Feb 16, 2005
Messages
8,220
Gender
Male
HSC
2006
Just expand them or remember ASTC....
a) sin θ
b) - cos α
e) 1/tan θ (or cot θ)
 

lyounamu

Reborn
Joined
Oct 28, 2007
Messages
9,997
Gender
Male
HSC
N/A
Avenger6 said:
Hi, guys I was doing some revision today and came across these trigonometric results questions and I must have skipped the lesson becuase I have no idea on what I have to do to solve them. Any help on solving the following is greatly appreciated:

4) Simplify the following:
4a) Using the formula,
sin (pi - @) = sin(pi)cos@ - cos(pi)sin@
= sin @ (sin(pi) = 0 and cos(pi) = -1)

4c) Using the formula,
cos(pi + @) = cos(pi)cos@ - sin(pi)sin@
= -cos@

4e) tan(pi/2 -@) = cot @ (using the rule that tan (90 - @) = cot @)
 
Last edited:

foram

Awesome Member
Joined
Mar 18, 2008
Messages
1,015
Location
Beyond Godlike
Gender
Male
HSC
2009
lyounamu said:
4a) Using the formula,
sin (pi - @) = sin(pi)cos@ - cos(pi)sin@
= sin @ (sin(pi) = 0 and cos(pi) = -1)

4c) Using the formula,
cos(pi + @) = cos(pi)cos@ - sin(pi)sin@
= -cos@

4e) tan(pi/2 -@) = cot @ (using the rule that tan (90 - @) = cot @)
I don't think it's worth using the formular. It takes too long.
 

selablad

Member
Joined
Apr 16, 2008
Messages
519
Gender
Female
HSC
2009
Trebla said:
Just expand them or remember ASTC....
My friend's maths teacher made them remember CAST. And then they got totally confused and kept thinking that the 1st quadrant was C and so forth, until I told them about all stations to central...
 

foram

Awesome Member
Joined
Mar 18, 2008
Messages
1,015
Location
Beyond Godlike
Gender
Male
HSC
2009
selablad said:
My friend's maths teacher made them remember CAST. And then they got totally confused and kept thinking that the 1st quadrant was C and so forth, until I told them about all stations to central...
I don't remember it that way. I just think:
sin = y
cos = x
 

selablad

Member
Joined
Apr 16, 2008
Messages
519
Gender
Female
HSC
2009
foram said:
I don't remember it that way. I just think:
sin = y
cos = x
No idea what that means :D Mind you I hated that topic, and our current topic for our exam in a week is based on it :( And I haven't even started learning it yet, because I've been using my maths lessons as sleep periods :uhhuh:

Better go study now :read:
 

lyounamu

Reborn
Joined
Oct 28, 2007
Messages
9,997
Gender
Male
HSC
N/A
foram said:
I don't think it's worth using the formular. It takes too long.
Yeah. But when you need to prove something, it is better to use formula, isn't it?

But in this case, we are trying to simplify so it will be much easier to use the common knowledge instead of formula.
 

ronnknee

Live to eat
Joined
Aug 2, 2006
Messages
474
Gender
Male
HSC
2008
I suggest that you work more on these types of questions as these are the fundamental identies of trigonometry, and are essential in harder questions

And lmfao "aMUSEd1977 Sucks The Cock"
 

Forbidden.

Banned
Joined
Feb 28, 2006
Messages
4,436
Location
Deep trenches of burning HELL
Gender
Male
HSC
2007
A friend once said "All stations to China", wtf.

ronnknee said:
I suggest that you work more on these types of questions as these are the fundamental identies of trigonometry, and are essential in harder questions

And lmfao "aMUSEd1977 Sucks The Cock"
Fully agree.
 

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

Top