Answer:
cosФ =
, sinФ =
, tanФ = -8, secФ =
, cscФ =
, cotФ = 
Step-by-step explanation:
If a point (x, y) lies on the terminal side of angle Ф in standard position, then the six trigonometry functions are:
- cosФ =

- sinФ =

- tanФ =

- secФ =

- cscФ =

- cotФ =

- Where r =
(the length of the terminal side from the origin to point (x, y)
- You should find the quadrant of (x, y) to adjust the sign of each function
∵ Point (1, -8) lies on the terminal side of angle Ф in standard position
∵ x is positive and y is negative
→ That means the point lies on the 4th quadrant
∴ Angle Ф is on the 4th quadrant
∵ In the 4th quadrant cosФ and secФ only have positive values
∴ sinФ, secФ, tanФ, and cotФ have negative values
→ let us find r
∵ r = 
∵ x = 1 and y = -8
∴ r = 
→ Use the rules above to find the six trigonometric functions of Ф
∵ cosФ = 
∴ cosФ =
∵ sinФ = 
∴ sinФ = 
∵ tanФ = 
∴ tanФ =
= -8
∵ secФ = 
∴ secФ =
= 
∵ cscФ = 
∴ cscФ = 
∵ cotФ = 
∴ cotФ =
Answer: Option D

Step-by-step explanation:
Note that the projectile height as a function of time is given by the quadratic equation

To find the maximum height of the projectile we must find the maximum value of the quadratic function.
By definition the maximum value of a quadratic equation of the form
is located on the vertex of the parabola:

Where 
In this case the equation is: 
Then

So:


answer:
x = 0.80
y = 1.50
step-by-step explanation:
x = cost of tacos
y = cost of burritos
both equations:
3x + 2y = 5.40
2x + 1y = 3.10
^
turn this | into this |
v
y = 3.10 - 2x
then add it to the equation :
3x + 2 [ 3.10 - 2x ] = 5.40
3x + 6.2 - 4x = 5.40
-1x = - 0.8
x= 0.80
then add x = 0.80 to the equations to get :
3 [ 0.80 ] + 2y = 5.40
2.4 + 2y = 5.40
2y = 3
y = 1.5
24.1 times24 times 3.5times 2. Is 271ft2
Presumably,

. In that case,
(A)
The average rate of change over the interval

is

and over

, it's

(B)

, i.e. the average rate of change over the second interval is 25 times higher. That's to be expected;

is an exponential function. As

gets larger, the rate of change of

gets larger too.