cot = cos/sin = x/y In order for cot to be negative, then the "x" and "y" are opposite signs (-x, +y) or (+x, -y). Which quadrants do these fall in?
(-x, +y) is in Quadrant 2
(+x, -y) is in Quadrant 4
Answer: 2, 4
Answer:
Step-by-step explanation:
The formula for the lateral area of a cone is:
Where:
is the radius of the circular base of the cone
As we know its diameter , its radius is
is the height of the cone
This is the lateral area of the volcano with the shape of a cone
To find the function, we can try to find the slope intercept form of the table.
Let's use the points (1,-1) and (2,-3) to find the slope.
Slope formula: rise/run
(-3 - - 1)/(2 - 1) = -2/1 = -2
Slope = -2x
Y-intercept = 1
y = -2x + 1
We can plug in a coordinate to check.
Let's use (2,-3).
-3 = 2x + b
Plug in the slope.
-3 = 2(-2) + b
-3 = -4 + b
4 + -3 = 1
b = 1
Therefore, the answer is f(x) = negative 2x + 1.