:) transform each polar equation in rectangular coordinates and identify its shape. 1. theta= 1.34 radians 2. r=tan(theta)sec(theta)

To solve this question we will make use of the basic relationship between the variables of the polar and cartesian coordinates.

They are:

and and

Let us solve the question now:

1.

The above is the answer for question 1. It is a straight line which passes through the origin.

2. It is given that:

which can be rewritten as:

Now, we know that:

Therefore, we get:

Which gives us, after cross multiplying :

(Since, )

Therefore, is the final answer we get by cross multiplying x.

This is a parabola.

question 1 is 8, question 2 is 9, question 3 is 24

step-by-step explanation:

now, the numbers they give you at the top are the key. from there, you just have to plug and chug! let's try 1, 2, and 3!

key: a=3, b=5, c=6

1. a+5

remember, a=3, so we plug that in to get 3+5=8

2. 15-c

c=6, so we plug that in to get 15-6=9

3. 4b

b=6, so we plug it in to get 4*6=24

time to try the rest on your own! if you put the answers below in a comment, i'll check them for you!