SOLUTION: Find all solutions of the equation: csc (theta/2) = sin (theta/2) b) Find the solutions in the interval [0,2pi)

Algebra ->  Trigonometry-basics -> SOLUTION: Find all solutions of the equation: csc (theta/2) = sin (theta/2) b) Find the solutions in the interval [0,2pi)      Log On


   

Question 885108: Find all solutions of the equation:
csc (theta/2) = sin (theta/2)

b) Find the solutions in the interval [0,2pi)
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Find all solutions of the equation:
csc (theta/2) = sin (theta/2)
b) Find the solutions in the interval [0,2pi)
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csc%28theta%2F2%29=sin%28theta%2F2%29
1%2Fsin%28theta%2F2%29=sin%28theta%2F2%29
sin%5E2%28theta%2F2%29=1
sin%28theta%2F2%29=±1
%28theta%2F2%29=π/2, 3π/2
theta=π