Question

how do i graph trig functions without a calculator?

Answer 1

for example 1-cos(2x)

Answer 2

You can plot points. You can also use derivatives to get a good picture of min/max values, convexity/concavity, etc.

Answer 3

do i just pick a set of values like 1, 2, 3?

Answer 4

That's one way to do it. Though, you'll probably get a better picture if you pick values like pi/4, pi/2, pi, etc.

Answer 5

oh ok i see

Answer 6

so if its trig funtions use trig values otherwise use regular numbers

Answer 7

Well, you can use either for either. It's just that it'll be easier one way.

Really, to graph functions, it's much easier if you look at the derivatives. They will give you a lot more information. Not sure if you have learned that math yet though.

Answer 8

yes i have, but i didnt know i could apply derivatives

Answer 9

Yes, this is one of the best applications of derivatives. Derivatives give you a ton of information. They give you the slope of the tangent line, local extrema, concavity/convexity, inflection points, etc, etc.

Answer 10

thanks im going to give that a try