Question 3 (Essay Worth 4 points)

Find the exact value by using a half-angle identity.

tan (7π/8)

.

Step-by-step explanation:

Assume that the following are known:

The angle in question isn't very well-known. However, note that:

Since the angle is equal to , its sine and cosine can be found from the sine and cosine of using the trigonometric identities and :

Apply the tangent half-angle identity to find the tangent of :

.

a; x = 0.5

step-by-step explanation:

-10x = -5

x = 0.5

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function the average rate of change from point to point can be calculated as

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,