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solve for x:

sin-1(1-x) - 2sin-1x = pi/2

6 years ago


Answers : (1)



sin-1(1-x) - 2sin-1x = pi/2

sin-1(1-x)  = pi/2 + 2sin-1x

let x = sinΘ


sin-1(1-x)  = pi/2 + 2sin-1sinΘ

1-x = sin(pi/2 + 2Θ)

1-x = cos2Θ

1-x = 1-2sin2Θ

 1-x = 1-2x2


x(2x-1) =0

x=0 ,1/2

x=1/2 is not satisfying the given equation so

final solution is x=0

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6 years ago

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