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The number of roots of the equation \(2 \sin^2\theta + 3\sin\theta + 1 = 0\) in the interval (0, 2) is
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its sin^2theta and sin theta
(0,2pi)
if we put 0 we get 1 if we put 2pi we get?
@ganeshie8
x=sin theta then 2x^2+3x+1=0
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x=-0.5,-1
sinx=-1/2,sinx=-1
yes!
solve each of them : sinx = -1/2 x = ?
what angles make the sin value equal to -1/2 ?
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familiar with unit circle, right ?
5pi/6
unit circle means circle with radius 1
|dw:1406976793276:dw|
there will be two angles that make sin value equal to -1/2 : |dw:1406976880529:dw|
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