Question

If u = sin(x+y/x-y) is a homogeneous function in and y,then its degree is equal to
​

Answer 1

Answer:

sin πcos 1+1 =πsc but there is not correct and!

Answer 2

Answer:

Degree of homogenous function U=sin($\frac{x+y}{x-y}$)  is 0.

Step-by-step explanation:

Answer:0

Step-by-step explanation:U=sin($\frac{x+y}{x-y}$)

To check the degree of a homogenous function we replace x=at,y=bt.And check the degree of the  term 't' .

The degree of 't'is the degree of the homogenous function.

Now,we get;

U=sin($\frac{at+by}{at-bt}$)

U=sin($\frac{a+b}{a-b}$).

Here, degree of 't' = 0.

Hence, degree of homogenous function U=sin($\frac{x+y}{x-y}$) is 0.