Solve questions 15,16,17, and 18. will give ! show minimal work!

15. The terminal side of intercepted the unit circle at:

(0,-1).

This implies that:

This implies that:

16) We have that: .

We illustrate this on the right triangle and apply the Pythagoras Theorem as follows:

Using the mnemonics SOH-CAH-TOAH, we have:

17. We want to verify that:

Verifying from the LHS

Recall that from the Pythagorean identity:

18.  We have:

When , we have

When ,

We can see this is not defined for all real values of x.

question: how many people can she serve?

answer: she can serve 16.66666667 people. so she can only give 16 people a complete serving.

question: does she have enough ice cream for her guests?

answer: no. explanation: she only has enough for 16 people to have a full serving. however, she can give a 17th person a partial serving.