Answer:
Correct
Step-by-step explanation:
When you type 1/3 into a calculator it should give you something along the lines of .333333334. If you continue to round, eventually you will get 1.
Answer:
It is correct.
Step-by-step explanation:
We can use tan(x) = sin(x)/cos(x). Plug in numbers to get:
tan(x+pi/2) = sin(x+pi/2)/cos(x+pi/2)
Here, you can use the sin and cos addition identity:
tan(x+pi/2) = (sin(x)cos(pi/2)+cos(x)sin(pi/2))/(cos(x)cos(pi/2)+sin(x)sin(pi/2))
If you simplify this, you get:
0+cos(x)/0-sin(x)
Which is the definition of cot(x). But, we can't forget about the '-' sign, so, the answer is -cot(x)
They are using the point (2, 8) to write this equation. You know that because of the "y-8" in the equation, and also because it's bolded! lol. Anyways, what's missing is the slope and the x value from our point. The slope is -2. Find this by picking 2 points on the line and putting those into the slope equation. Use the bolded point and the x-intercept: (2,8) and (6,0):

. As stated earlier the x coordinate in the bolded point is 2. So our equation is y-8=-2(x-2). And there you Go!