Assuming you mean f(t) = g(t) × h(t), notice that
f(t) = g(t) × h(t) = cos(t) sin(t) = 1/2 sin(2t)
Then the difference quotient of f is
Recall the angle sum identity for sine:
sin(x + y) = sin(x) cos(y) + cos(x) sin(y)
Then we can write the difference quotient as
or
(As a bonus, notice that as h approaches 0, we have (cos(2h) - 1)/(2h) → 0 and sin(2h)/(2h) → 1, so we recover the derivative of f(t) as cos(2t).)
Right format of question:
Plot two points that are 7 units from Point D and also share the same x-coordinate as Point D.
Answer:
and
Step-by-step explanation:
Given
Required
Determine a point 7 points from D and in the same x coordinate
Represent this point with D'.
From the requirement of the question, D' has two possible values and these values are:
----> 7 units down and
----> 7 units up
Substitute values for x and y in and
So, we have:
