Given:
There are given that the cos function:
Explanation:
To find the value, first, we need to use the half-angle formula:
So,
From the half-angle formula:
Then,
Since 105 degrees is the 2nd quadrant so cosine is negative
Then,
By the formula:
Then,
Put the value of cos210 degrees into the above function:
So,
Final answer:
Hence, the value of the cos(105) is shown below:
Answer:
Slope =
Step-by-step explanation:
Let the equation representing the number of gallons left in the gas tank is,
G = mt + b
Where m = slope of the line
b = y-intercept of the line
Slope of the line passing through two points and
is,
'm' =
Slope of the line passing through (8, 5) and (4, 10),
m =
m = -
Equation of line will be,
G =
Since, point (8, 5) lies on this line,
5 =
5 = -10 + b
b = 15
Therefore equation of the function will be,
G =
Here slope of the function represents the gallons of gas is consumed to drive the car for one hour.