3sin^2∅ - sin∅ = 1/4
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Answered by
4
Solution :
3 sin² theta - sin theta = ¼.
Let us assume that sin theta = x
> 3x² - x = ¼
> 12x² - 4x = 1
> 12x² - 4x - 1 = 0
> 12x² - 6x + 2x - 1 = 0
> 6x( 2x - 1) + 1( 2x -1) = 0
> (6x + 1)( 2x - 1) = 0
> x = ½ or -⅙.
sin theta = ½
> theta = 2nπ + π/6.
This is the required answer.
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Answered by
0
Step-by-step explanation:
Solution :
3 sin² theta - sin theta = ¼.
Let us assume that sin theta = x
> 3x² - x = ¼
> 12x² - 4x = 1
> 12x² - 4x - 1 = 0
> 12x² - 6x + 2x - 1 = 0
> 6x( 2x - 1) + 1( 2x -1) = 0
> (6x + 1)( 2x - 1) = 0
> x = ½ or -⅙.
sin theta = ½
> theta = 2nπ + π/6.
This is the required answer.
______________________________________
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