Trigonometric Functions

Dec 2009
9
0
y= a sin 2pi/T t

What value of T would give the function an amplitude of 5 and a period of 10? It says 10 at the back of book, and I get would that makes the period 10, but how on earth does it affect the amplitude?

Easy question, I know, but I have a test tomorrow and need to get this straightened out. Any help would be appreciated!
 

pickslides

MHF Helper
Sep 2008
5,237
1,625
Melbourne
It says 10 at the back of book, and I get would that makes the period 10, but how on earth does it affect the amplitude?
Only \(\displaystyle a\) affects the ampliyude. You are correct to query this.