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Solve $3\sin \theta=2\cos^2\theta$
in Grade 12 Maths by Wooden (2k points) | 30 views

1 Answer

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3sinx=2-2sinx^2  , square identity

 2sinx^2 +3sinx -2 =0

(2sinx-1)(sinx+2)=0

sinx = 1/2

or sinx = -2 (no solution for this one)

 

sinx= 1/2 , x= 30 degrees , sin is positive in 1st and 2nd quadrants,

  hence  x= 30 degrees

    and x= 180-30 = 150 degrees.
by Silver Status (31.3k points)

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