Question

is it true that the curve y=2sin(x) is twice as long than y=sin(x)

Answer 1

What is the amplitude of this: y=2sin(x)

Answer 2

[0,2pi]

Answer 3

That is the period of y = sin(x), isn't it?

Answer 4

Look at the two graphs:

Answer 5

its for both y=sinx and for y=2sinx

Answer 6

"Twice as long" could be amplitude or period. but mostly its refering period, so if its really twice as long then its\[y=\sin(\frac{x}{2}) ~~~ \text{is twice as long as } ~~~ y=\sin(x)\]

Answer 7

So @Ygarcia28 your question is false

Answer 8

ok thank you i got that as well

Answer 9

But if "Twice as long" is referring to Amplitude then its true. But that's not possible because usually we use amplitude as "Twice as large" not "long"