Question

What is the domain of y = cot x?

Answer 1

Domain is all the possible values of x. What can x not be in a Cotangent?

Answer 2

Hint: cot=cos/sin
When is this fraction not defined?

Answer 3

Undefined when cos = 0 sin = 0

Answer 4

A?

Answer 5

cot(x) is undefined where sin(x)=0

Answer 6

Good. When does sin become 0?

Answer 7

undefined?

Answer 8

For what values of x is Sin(x) = 0?

Answer 9

Think of it this way.. SOH => Sin = Opposite / Hypothenuse; the only way for this fraction to be 0 is if the length of opposite is 0...

Answer 10

What's that angle?

Answer 11

I mean what is that angle approaching? Oh and also same applies for the reverse:

Answer 12

acute

Answer 13

around 25?

Answer 14

full rotation?

Answer 15

Well what does the angle approach as the side opposite from that angle approaches 0?

Answer 16

180?

Answer 17

Correct, that's in this case

What about in the case above that?