Question

4 Sin A Sin 2A+ 1-2 Sim 2A = 2 Sin A
find the value of A​

Answer 1

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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Step-by-step explanation: