Question 930175: csc (Theta/2) = sin (theta/2)
a. Find all the solutions of the problem.
b. Find all the solutions for the internal (0,2pi)
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! csc (Theta/2) = sin (theta/2)
a. Find all the solutions of the problem.
b. Find all the solutions for the internal (0,2pi)
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For all solutions:
csc(x/2)=sin(x/2)
1/sin(x/2)=sin(x/2)
sin^2(x/2)=1
sin(x/2)=±√1=±1
x/2=π/2+2πn, 2π/3+2πn,n=any integer
x=π+2πn, 4π/3+2πn, n=any integer
..
For interval (0,2π)
x=π, 4π/3
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