Question

for each statement, describe k.
a. tan(k times 90degrees)=0
b. sec(k times 90degrees) is undefined

Answer 1

Not exactly....
For (a) you want:

\(\Large \tan(k 90*)=0\)

Where is tanx=0? Where sin(x)=0, right? So (in degrees) that is 0, 180, 360, 450, etc.

NOT EVERY 90 degrees (which is what you get if you let k be any integer), but every 180 degrees. So you need to set k so that it captures that, e.g:

let k=2n for n every integer. Then k gets you every EVEN integer.

Answer 2

You can think through (b) similiarly. Just think about what condition makes sec(x) undefined, and where that occurs.

Answer 3

I don't get it that much but thank you! now I can kind of get an idea of the question