Find the exact value of cot7pi/4
2 answers:
Answer:
-1
Step-by-step explanation:
The radian gives the coordinates: ( (found using the unit circle)
cot=x/y
Plug the x and y coordinates into their respective places in the equation.
You get the answer of -1.
Answer:
-1
Step-by-step explanation:
Use a unit circle to find "exact" values.
On the unit circle, first find your angle, 7pi/4. Its a big angle, 315° that's trivia right now though.
Then look at the coordinates of the point at 7pi/4. They are:
(root/2, -root2/2) See image.
sin is the y coordinate. cos is the x coordinate. tangent is y/x.
cotangent is the reciprocal of tangent. This means to find cotangent, flip over tangent.
cotangent is x/y.
cot 7pi/4 =
(root2/2)over(-root2/2)
= -1
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Answer:
The equation of the line is:
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
In which m is the slope and b is the y-intercept.
Two points:
We have these following two points in this exercise:
x = -6, y = -3, so (-6,-3)
x = 4, y = 3, so (4,3)
Finding the slope:
Given two points, the slope is given by the change in y divided by the change in x.
Change in y: 3 - (-3) = 3 + 3 = 6
Change in x: 4 - (-6) = 4 + 6 = 10
So
Then
Finding b:
We replace one of the points in the equation to find b. I will use (4,3).
The equation of the line is:
Your minimum is at (6,2)
your vertical intercept is at (0,32)
your domain: (-infinity, infinity)
your range: [2, infinity)
your vertical intercept is at (0,32)
your domain: (-infinity, infinity)
your range: [2, infinity)