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.
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And, is it csc(x^5)? or (csc(x))^5 ?
Parentheses are free.

Answer by ikleyn(52884) (Show Source):
You can put this solution on YOUR website!
.
cscx^5-4cscx=0 interval [0,2pi)
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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.