4 Sin A Sin 2A+ 1-2 Sim 2A = 2 Sin A
find the value of A
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Answer:
see
=> 4 sinA. sin2 A +1 - 2sin2A = 2sin A
=> 4 sinA.sin2 A - 2sin 2A - 2sin A +1 =0
=> 2 sin 2A(2sin A -1) -1( 2sin A -1) =0
=> (2 sin 2A -1) ( 2 sin A -1) =0
now,
=> sinA =1/2, sin2A =1/2.
=> sinA =1/2. (sin 30 =1/2)
=> sin A = sin 30
=> A =30
now,
=> sin 2A =sin 30
=> 2A =30
=> A =15
answer A =15,30
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