Question

Find Sec(theta) and Sin(theta) if cot(theta) is undefined pi/2 <= theta < 3pi/2

Answer 1

The cotangent is undefined at 180 degrees or pi.

Answer 2

Find the cosine of pi. You should have your calculator in radians, and you will come up with -1. Since the secant of an angle is 1/cos x, then 1/-1=-1. So the secant of theta is -1.

Answer 3

Wait.

Answer 4

Now find the sine of pi. Using your calculator in radians, you should get 0.

Answer 5

Wait what?

Answer 6

Hold on I gotta read.

Answer 7

Ok, why do you jump straight into Cosine. What about Sine?

Answer 8

Undefined is 1/0. Tangent is Sin/Cosine
Cotangent is Cosine/Sine
Do we say that Sine is 0?

Answer 9

I went into cosine because cosine is the flip of secant. I did sine, too. they are all there. sine is 0, yes.

Answer 10

Ok.
So I would first write out my coordinate for the time being as
(x, 0) right?

Answer 11

Because (Cosine, sine)

Answer 12

Ok.
So..let's clear up something.
pi/2 and 3pi/2 put you between the Q2 and Q3 because they are positive? So you go in counter clockwise direction?

Answer 13

Sorry I may seem slow, I just really want a full and thorough understanding of this concept.

Answer 14

\[\cot(x)=\frac{\cos(x)}{\sin(x)}\]
so cot(x) isn't defined when sin(x)=0
sin(x)=0 between pi/2 and 3pi/2 at pi
since sin(pi)=0

Answer 15

I don' t know if you can understand my picture or not