Sine of x divided by one minus cosine of x + sine of x divided by one minus cosine of x = 2 csc x

The answer in the procedure

Step-by-step explanation:

we have

Prove the identity

In this problem there is a mistake: in order to obtain an identity the second denominator at the left side must be 1 + cosx

so

Adds fraction in the left side

Remember that

and

substitute

Multiply both sides by sin(x)

----> identity verified

she played for 18.75 hours.

step-by-step explanation:

if she played 2/4 of a hour on tuesday. and there is 60 minutes in an hour and 60 divided by 4 is 7.5. and she played 2/4 of an hour on thursday then again 60 divided by 4 is 7.5, you add 7.5+7.5=56.25. now you have to do 1/4 of an hour, it equals 3.75. now you have to add them all up. 3.75+7.5+7.5=18.75

i hope this and i hope you get it right. it took me a while to get this done for you. : )