Let us take a sharp point for the graph.
In 4 hours total earning is $30.
Therefore, earnings per hours would be 30/4 = $7.5 per hour.
Are given direct variation between Total earnings(E) and Number of hours worked(h).
So, we can setup a direct variation as
Total earnings = Earning each hour * Number of hours.
Therefore, direct variation function would be
E=7.5*h.
Therefore, the direct variation function between E, the total earnings in dollars, and h, the number of hours worked is E = 7.5h.
Answer:
a) We can remove the complete rotations around the unitary circle like this, because we know that one complete revolution is equivalent to :
For this case we know that
So then
b) We can remove the complete rotations around the unitary circle like this, because we know that one complete revolution is equivalent to :
For this case we know that
And we know that is on the III quadrant since is equivalent to 210 degrees. And on the III quadrant the cosine is negative. So then
c) For this case that any factor of the sin function is equal to 0.
So from definition of tan we have this:
Step-by-step explanation:
a. sin (17pi / 4 )
We can remove the complete rotations around the unitary circle like this, because we know that one complete revolution is equivalent to :
For this case we know that
So then
b. cos (19pi / 6 )
We can remove the complete rotations around the unitary circle like this, because we know that one complete revolution is equivalent to :
For this case we know that
And we know that is on the III quadrant since is equivalent to 210 degrees. And on the III quadrant the cosine is negative. So then
c. tan(450pi)
For this case that any factor of the sin function is equal to 0.
So from definition of tan we have this: