SOLUTION: Please help me with this question for my take home test :) Find all values of theta in the interval 0degrees < (or equal to) theta < (or equal to) 360 degrees which satisfy the

Question 678558: Please help me with this question for my take home test :)
Find all values of theta in the interval 0degrees < (or equal to) theta < (or equal to) 360 degrees which satisfy the equation 2 sin theta - 1 = csc theta
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Find all values of theta in the interval 0degrees < (or equal to) theta < (or equal to) 360 degrees which satisfy the equation 2 sin theta - 1 = csc theta
**
use x for theta
in interval 0 ≤ x ≤ 360�
2sinx-1=cscx
2sinx-1=1/sinx
LCD:sinx
2sin^2x-sinx=1
2sin^2x-sinx-1=0
(2sinx+1)(sinx-1)=0
..
2sinx+1=0
sinx=-1/2
x=210� and 330� (in quadrants III and IV where sin<0)
..
sinx-1=0
sinx=1
x=90�
..
x=90�,210�, and 330�

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