SOLUTION: csc(3θ)=2

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Question 1116152: csc(3θ)=2
Answer by ikleyn(52866) About Me  (Show Source):
You can put this solution on YOUR website!
.
csc(3t) = 2    literally means


1%2Fsin%283t%29 = 2    and is equivalent to


sin(3t) = 1%2F2.


It has infinitely many solutions  in terms of 3t

3t = pi%2F2+%2B-+pi%2F3 + 2k%2Api,  where  k is any integer  k = 0, +/-1, +/-2, . . . 


or, in terms of t


t = pi%2F6+%2B-+pi%2F9 + 2k%2Api%2F3,  where  k is any integer  k = 0, +/-1, +/-2, . . . 


Answer.  The given equation has infinitely many solutions  t = pi%2F6+%2B-+pi%2F9 + 2k%2Api%2F3,  where  k is any integer  k = 0, +/-1, +/-2, . . .