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
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Find all values of theta in the interval 0degrees < (or equal to) theta < (or equal to) 360 degrees which satisfy the
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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
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use x for theta
in interval 0 ≤ x ≤ 360º
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=210º and 330º (in quadrants III and IV where sin<0)
..
sinx-1=0
sinx=1
x=90º
..
x=90º,210º, and 330º
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