anonymous
  • anonymous
Similar to my last question, csc-1[csc7pi/6] ..... would this just be 7pi/6? please explain.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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amistre64
  • amistre64
ok; this is slightly different because of the order in which we have to play with the csc and csc_1 parts..
amistre64
  • amistre64
csc^-1 is only going to give you angles that are in the range of -pi/2 and pi/2. They have to do that in order to make it a useable function
amistre64
  • amistre64
7pi/6 is greater then pi by pi/6, like this: 6pi pi 7pi --- + --- = ---- 6 6 6

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amistre64
  • amistre64
its csc^-1 will spit back -pi/6 i believe
anonymous
  • anonymous
so a reference angle?
amistre64
  • amistre64
1 Attachment
amistre64
  • amistre64
yep; the reference angle that is a match to the original...
amistre64
  • amistre64
my memory might have a hiccup there tho; let me use the calculator to dbl chk meself
amistre64
  • amistre64
http://www.wolframalpha.com/input/?i=csc^-1%28csc%287pi%2F6%29%29
amistre64
  • amistre64
im right lol
anonymous
  • anonymous
so is that original equation's answer -pi/6?
amistre64
  • amistre64
yes, -pi/6 is the answer to the original question
anonymous
  • anonymous
okay so how would you have an equation where it's not possible?
amistre64
  • amistre64
hmm.... well, if you try to take the answer to a function that has an invalid input like tan(pi/2) that would result in a disaster

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