greeneyes<3 Group Title Evaluate without using a calculator. Give answer in radians and degrees. Show work please or explain it! 2 years ago 2 years ago

1. greeneyes<3 Group Title

$\cos^{-1}(-\sqrt{2}/2)$

2. dumbcow Group Title

from the unit circle i know that cos(x) = -sqrt(2)/2 when x = 3pi/4 and 5pi/4

3. dumbcow Group Title

convert to degrees.....pi = 180

4. dumbcow Group Title

do you need more explanation?

5. greeneyes<3 Group Title

thank you so its 180 degrees & 3 pi/4 ?

6. dumbcow Group Title

?? no pi radians is equivalent to 180 degrees there are 2 possible answers (2 diff angles satisfy cos(x) = -sqrt2/2) i gave you answers in radians, you have to convert to degrees by replacing pi with 180

7. dumbcow Group Title
8. greeneyes<3 Group Title

oh... i'm sorry so the answer is 180 degrees & pi ? I don't understand how to get to 180 degrees. :/

9. dumbcow Group Title

hmm ok apparently i am only confusing you more just look at the unit circle and find -sqrt2/2, the answers will be the angle measures

10. greeneyes<3 Group Title

5 pi/4 ?

11. dumbcow Group Title

i hope i'm not annoying or anything lol you don't have to help me but is the answer for $\sin^{-1} (-1)$ = 270 degrees, (3 pi/2) ?