Question

There are values of t so that cos t = 5/4.

True or false.

Please explain. Thank you!

Answer 1

cosine function only gives values between -1 and 1

Answer 2

oh ok so that would make it false then?

Answer 3

yes



\[\cos t= \frac AH\]

if cosine is 5/4 that mean the hypotenuse is shorter than one of the legs

Answer 4

ok I see so what would 5/4 apply to then if it is not cosine?

Answer 5

since hypotenuse is always the longest side

sin and cos have to be between -1 and 1.

tan and cot can be any value

secant and co-secant have to be \(\ge1\) .... (or \(\le-1\))

Answer 6

Thanks for your help and time. I now have a better understanding. Thanks!