# Solve for sinx : square root(1-sinx)=1/2.

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We have to solve: sqrt(1 - sin x) = 1/2

sqrt(1 - sin x) = 1/2

square both the sides

1 - sin x = 1/4

=> sin x = 1 - 1/4

=> sin x = 3/4

**The required value of sin x = 3/4**

First, we'll have to raise to square both sides, to eliminate the square root:

1 - sin x = 1/4

We'll shift 1 to the right side:

-sin x = 1/4 - 1

-sin x = -3/4

sin x = 3/4

Since the value of sin x is smaller than 1, therefore it is accepted.

**The requested value of sin x is: sin x = 3/4.**