Answer:
y - x
Step-by-step explanation:
In the right triangle ABC, we have the following relationships:
sin B = cos C
cos B = sin C
So, to know what is sin C - cos C, we replace the expression as:
sin C - cos C = cos B - sin B
Then, taking into account that sin B = x, and cos B = y, we get:
sin C - cos C = y - x
Therefore, the answer is y - x