Question

Explain why there is no largest possible value of cosecant.

Answer 1

I get why there is no largest possible value of tan... but why cosecant?

Answer 2

cscx = 1/sinx

Hmm let's think about this a second.
What is the smallest value that sinx can have?
Because that would correspond to the LARGEST value that cscx can have.
If you put a smaller and smaller number in the denominator, it get's really really big.

Answer 3

oh yeah i just realized that cosecant is near 180 like tan is near 90

Answer 4

Ah yes ^^ does that crazy think like tangent, just in a different spot.

Answer 5

is there a significant to this? Why is tan near 90 and cosecant near 180?

Answer 6

Ummm, tangent has a cosine in it's denominator.
So tangent blows up where cosine is undefined (cosine approaching 0 at 90degrees)

Cosecant has a sine in the denominator.
So cosecant blows up to infinity where the sine function is undefined
(sin x approaches 0 at 0 and 180 degrees :D)

Answer 7

ok thanks a ton I appreciate your time and help.

Answer 8

:D