Question

@callisto:)

Answer 1

Graph :S

Answer 2

equate the 2 equations and solve it. That's the idea only :P

Answer 3

Can you try it ?

Answer 4

ok

Answer 5

Ok, so first we rearrange the equation so that the RHS = 0, am i right?

Answer 6

Equate the 2 equations first. Can you show this step first?

Answer 7

Like this? 2 sin(x) - 1 = g(x) - 3 cos(x) + 2

Answer 8

Nope...2 sin(x) - 1 = 3 cos(x) + 2
it's like when you have 2 line and want to find their intersection, you would equate them, got it?

Answer 9

Ohhh okk

Answer 10

Hmm... that's ugly... give me some time first... sorry!!!

Answer 11

Are you supposed to solve it algebraically or graphically?

Answer 12

I think if they wanted it algebraically, they would specify, so I can safely assume its graphically

Answer 13

That would be pretty easier then :)

Answer 14

Can you see the 2 intersection points? that're your answers :)

Answer 15

what? really? but isnt that merely tracing the zeroes?

Answer 16

I dont think its graphically then, LOL

Answer 17

Wait, I've some problems interpreting the question now..

Answer 18

Is there the whole question you have?

Answer 19

Yeah! me too. I was going to ask you if you could rephrase it. Idk why but the author of the book asks questions in a strange manner

Answer 20

Yeah, thats the entire question

Answer 21

Let's fetch helps :)

Answer 22

f = 2sinx - 1
g=3cosx + 2

For f=g, 2sinx - 1 = 3cosx +2
2sinx - 3cosx = 3

It only says equation hehehe there is your equation for the theta or x co-ordinate.

(f - 1)/2 = sinx
(g-2)/3 = cos x
\[\sin^2x +\cos^2 x =1\implies (f-1)^2/4 + (g-2)^2/9 = 1\]

Answer 23

OpenStudy? ARE YOU NOT ENTERTAINED!?!?! :D

Answer 24

What? what do you mean?

Answer 25

http://www.youtube.com/watch?v=FsqJFIJ5lLs
I meant are you satisfied with my answer?

Answer 26

Ohh. Its better than anything I would get:) Thank you

Answer 27

hahaha. nice touch with the video:)

Answer 28

lol

Answer 29

wait so which one is the equation?
This one?
sin2x+cos2x=1⟹(f−1)2/4+(g−2)2/9=1

Answer 30

the later one\[(f-1)^2/4 + (g-2)^2/9 = 1\]

Answer 31

Oh ok. Sorry, I have been awake for 23 hours, Im not thinking straight:) Thank you

Answer 32

wait it's f+1 not f-1 sorry

Answer 33

@Ishaan94
What is the use of the following steps in your solutions?
For f=g, 2sinx - 1 = 3cosx +2
2sinx - 3cosx = 3

Answer 34

That's for getting the x co-ordinate or the theta for the curve intersection.

Answer 35

Hmmm... I'm totally lost... sorry!!!!!!

Answer 36

The question asks, "What equation would have the intersection points of the graphs as its solution?"

It is (reasonably) clear that the equation they want is when the two curves equal each other.
Of course, the proof is in the pudding. If we solve your equation, we see that the solutions are in fact the intersection points shown in the question (112.6º and 180º)