Plot the point (-7, -5). We are in quadrant 3.
We also know that tan θ = opp/adj.
Cot θ = adj/opp.
Let us use a^2 + b^2 = r^2 to show you how to find r, the radius aka hypotenuse.
Look: (-7)^2 + (-5)^2 = r^2
If you should ever need to find r, do this:
(-7)^2 + (-5)^2 = r^2
(49) + 25) = r^2
74 = r^2
Take the square root on both sides of the equation to find r.
sqrt{74} = sqrt{r^2}
sqrt{74} = r
It is ok to simplify the sqrt{74} but not needed.
We now have the three sides of the triangle that is form in quadrant 3.
We can now read cot θ from the triangle itself.
So, cot θ = adj/opp = (-7)/(-5) or 7/5.
No need to find r but I simply wanted to show you how it's done in case you are given a question where r must be found.
Answer:
As the input increases, the output decreases for all values of x.
Step-by-step explanation:
The function is linear (a straight line) which heads down and to the right. There is no asymptote stopping the function from decreasing.
Formally, the behavior is described like so: as x approaches infinity, f(x) decreases
Answer:
Acute angle
Step-by-step explanation:
170-100=70
An angle between 0 and 90 degrees is an acute angle.
Answer:
4,000,000,000 meters
Step-by-step explanation:
4 x 10,000,000,000,000 x 0.0001 = 4,000,000,000 meters
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