Krishna
0

Step 1: Make sure that using the given ratio is it possible to draw a right triangle or not.

NOTE:  In a right angle triangle the hypotenuse is greater that the side.

\sin x = \frac{opposite}{hypotenuse} = \frac{4}{3}

Opposite side = 4

Hypotenuse side = 3

Hypotenuse > side

3 < 4

So,  it is not possible to construct a right angle triangle.

Step 2: Check the sin rang.

NOTE:   We know sin function always lies ranging from 1 to -1.

The given value   \frac{4}{3} = 1.3333, is greater than 1.

So, there is no possible value of x for which \sin x = \frac{4}{3}