Question

Hii !!

Question for 50 points .

sin^-1(1-x) -2sin^-x = π/2 then X is equal to ? ​

Answer 1

Hii !!!

Option (c) is correct .

Solution is in this given attachment !

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Hope it helps you !!!

Answer 2

Answer:

A

Step-by-step explanation:

sin⁻¹(1-x) - 2sin⁻¹x = π/2

Let x = siny

=> sin⁻¹(1-siny) - 2sin⁻¹(siny) = π/2

=> sin⁻¹(1-siny) - 2y = π/2

=> sin⁻¹(1-siny) = π/2 + 2y

=> 1-siny = sin(π/2 + 2y)

=> 1-cos2y = sin2y

=> 2sin²y = sin2y

=> siny(2siny - 1) = 0

=> siny = 0, siny = 1/2

Thus,

x = 0, x = 1/2

Hence, x is equal to 0,1/2.

#Hope my answer helped you!