Answer:
Step-by-step explanation:
Increasing the sample size in a particular study will bring about a decrease in the standard deviations of the means.
A decrease in the sample size for a particular study will bring about an increase in the standard deviations of the means.
Whereas the population mean of the distribution of sample means is the same as the population mean of the distribution being sampled from meaning that the population of the distribution of sample means never changes.
5. (0,1)
6. (-2,-2)
7. (-1,-3)
8. (-3, 2)
Since 
and 
, we can rewrite the right side of the equation as
Using the identity 
, we can subtract 
from either side to obtain the identity 
substituting that into our previous expression, the right side of our equation simply becomes
We can now write our whole equation as
Adding 2 to both sides:
dividing both sides by 3:
When 0 ≤ x ≤ π, tan x can only be equal to 1 when sin x = cos x, which happens at x = π/4, and it can only be equal to -1 when -sin x = cos x, which happens at x = 3π/4
