solve the following 9 exercises:
if senz = e ^ iz - e ^ -iz / 2i , cosz = e ^ iz - e ^ -iz / 2
1. sen^2 z + cos^2 z=1
2. 1+tan^2 z = sec^2 z
3. 1+cot^2 z = csc^2 z
4. sen(-z)=-sen z
5. cos (-z)=cos z
6. tan (-z)=-tan z
7. sen (z1+z2)=sen z1 cos z1 +sen z2 cos z2
8. cos (z1+z2)=cos z1 cos z2 - sen z1 sen z2
9. tan (z1+z2)= tan z1 + tan z2 / 1-tan z1 tan z2

30 miles

step-by-step explanation:

we know that 60 seconds equals 1 minute and 60 minutes 1 hour

44 ft       60 sec     60 min     158400   ft

  *   *   =

1 sec       1 min       1 hour         hour

we know that there are 5280 ft per mile

158400   ft       1 mile         30 miles

  *   =

1   hour               5280 ft     1 hour

so in 1 hour   it can travel 30 miles

a.) list the factors of 40.

1/2/4/5/8/10/20/40

b.) list the factors of 40 that represent the number of cans that could be on each shelf.

5

c.) how many different arrangements of cans are possible?

just one because if you put more on one shelf you will go way over 40 and the cabinet will probably break.

d.) what are the possible arrangements of the cans?

put 5 cans on each self to reach 40 cans in total.

e.) which arrangement uses all the shelves?

5 because you can put 5 cans on each shelf, and since there are 8 shelfs you are equally going to get 40 cans.