SOLUTION: cscx^5-4cscx=0 interval [0,2pie)

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Question 1203196: cscx^5-4cscx=0 interval [0,2pie)
Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
No pie or cake in math.
Use the Greek letter pi.
=======================
And, is it csc(x^5)? or (csc(x))^5 ?
Parentheses are free.
Answer by ikleyn(52887)   (Show Source): You can put this solution on YOUR website!
.
cscx^5-4cscx=0 interval [0,2pi)
~~~~~~~~~~~~~~~~~ 

csc(x) is a remarcable function: it is never equals zero.


THEREFORE, we can safely divide both sides of the given equation by csc(x).
We will get then

    csc^4(x) - 4 = 0,

or

    csc^4(x) = 4,

    sin^4(x) = 

    sin(x) =  = +- .


Now recall the table values of sine function and get the


ANSWER.  x = ,  ,  ,  .

Solved.



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