Help please and show the steps

-sin(2A)

Step-by-step explanation:

1-(sin(A)+cons(A))^2

1-(sin(A)^2+2sin(A)cos(A)+cos(A)^2) :use FOIL to get it

1-(1+sin(2A))

1-1-sin(2A)

-sin(2A)

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).