What kind of Qs is this...help me!

[Moko]

Ok, so the first question states:

1 Find the axis intercepts of the following graphs and Find the point of intersection of each with the line x=Pi/3...Note:this is a polar sketching thingy so if using the CAS, you must chose the polar setting on the graph menu. I know how to sketch it, but I dont know how to find the things they are asking for.
    a). r=x
    b). r=cos(x)
    c). r=3+sin(2x)

2). Find the cartesion equation of the curve determined by the following parametric equations, clearly stating the domain and range of the corresponding equation
     
     a). x=sec(t), y=tan(t), t is an element of --> (pi/2, 3pi/2)
     b). x=1-sec(2t), y= 1+tan (2t), t is an element of--> (pi/4,3pi/4)

Help will be appreciated....please show your working out!

Thank you!

[HenryP]

Question 2a:
So we know that x=sec(t) and y=tan(t)
The relationship between sec and tan is given by the trigonometric identity 1+(Tan(x))^2 = (Sec(x))^2
To find the cartesian equation, simply sub in what we know.
So we end up with 1+y^2 = x^2

Domain: So t can take on value between (pi/2 , 3pi/2)
The domain are the possible values for x. So all we need to do is find what those values are.
We know x=Sec(t). So we need to figure out all the possible values for x. From this we can see that the domain is (-infinite , -1)
Ill let you find the range by applying the same technique. Hopefully this helps and that there aren't any mistakes, been a while since I've done Specialist haha
You should be able to do part b now!