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

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justaguide's profile pic

justaguide | College Teacher | (Level 2) Distinguished Educator

Posted on

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

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giorgiana1976 | College Teacher | (Level 3) Valedictorian

Posted on

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.

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