anonymous
  • anonymous
Evaluate without using a calculator. Give answer in radians and degrees. Show work please or explain it!
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
\[\cos^{-1}(-\sqrt{2}/2) \]
dumbcow
  • dumbcow
from the unit circle i know that cos(x) = -sqrt(2)/2 when x = 3pi/4 and 5pi/4
dumbcow
  • dumbcow
convert to degrees.....pi = 180

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dumbcow
  • dumbcow
do you need more explanation?
anonymous
  • anonymous
thank you so its 180 degrees & 3 pi/4 ?
dumbcow
  • dumbcow
?? 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
dumbcow
  • dumbcow
good reference http://www.mathpeer.com/index.php?act=trigonometry&trig=radian_measure_and_the_circular_functions
anonymous
  • anonymous
oh... i'm sorry so the answer is 180 degrees & pi ? I don't understand how to get to 180 degrees. :/
dumbcow
  • dumbcow
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
anonymous
  • anonymous
5 pi/4 ?
dumbcow
  • dumbcow
yep thats 1 answer
anonymous
  • anonymous
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) ?

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