Find the exact Value?

Question

Find the exact value of each of the following or explain why it is undefined.

**** I think I figured out the answers to all of them... I just would like to know if I was right or totally off track. *****

10points easy :]

a) arcsin (√3/2) answer: π/3

b) arctan (1) answer: π/4

c) arcsin (sin π/2) answer: π/2

d) arccos (cos 3π) answer: π

e) cos [arcos (4/3)] answer: π/3

Please let me know if I am wrong! :] Thanks

Answer 1

I think your answer to e) is incorrect (you may have a typo in your answer though).

the cos and arcos should cancel each other out, so the answer should be 4/3  (unless you mistakenly used '4' instead of pi in your answer - then you would be correct)

Answer 2

All are right except e).

arccos cannot be greater than 1.

e) should be no answer. Not possible. Domain error.

Answer 3

He/She means > 1...not "< 1".

Answer 4

they're okay except (e). cosine of anything <1,so you can't have arccos(4/3)