Prove each identity
a) csex (1 - sec?x) = -tax
cOSX
b) cscx(1 - cos2x) = sinx
cscx-sx = cosx
d) (1 + tanx)(1 - cotx) = tanx - cotx
c)
sex-sinx
cotx
sư
1-cosx
1-cosx = 2csc
sinx
e) 2sec x = -six + =sing

The krasnapolski is a top-of-the-line hotel in amsterdam, the netherlands. among their many services, they rent bicycles to guests. the bicycle checkout is open 24 hours per day 7 days per week and has 50 bicycles on hand. on average, 10 guests request a bicycle each day, arriving completely randomly at all times of the day during the spring and summer seasons. guests keep bicycles for four days on average, with a standard deviation of two days. how long does a guest on average have to wait for a bike? a. approximately 24 hours b. approximately 0.033 hours c. approximately 4 days d. approximately 47 minutes