Final answer:
To show that 1 ( ) ( ) ( ), we first need to understand what the given function r( ) = 0 means. Then, we can substitute the root of r( ) into the equation for t( ) and set them equal to each other to get the desired result.
Step-by-step explanation:
To show that 1 ( ) ( ) ( ), we first need to understand what the given function r( ) = 0 means. It indicates that the function r( ) has a root at some value, let's say x = a. Therefore, when we plug in a into the function r( ), the output will be 0.
Now, let's define a new function t( ). We want to show that 1 ( ) ( ) ( ). Since both r( ) and t( ) have the same root at x = a, we can substitute x with a in equation 1 and equation 2, and set them equal to each other. This would give us the desired result.
Using the small-angle approximation, we can find the value of a and show that 1 ( ) ( ) ( ), using the given information.