Question

Encuentra el valor de x en el intervalo [0,90o] Senx = 1/2

Answer 1

The value of x in the interval [0.
`90\textdegree`] Sinx = 1/2is
`30\textdegree`

To find the value of x in the interval [0, 90°] given that sin(x) = 1/2, we can use the definition of the sine function.

The sine of an angle is equal to the length of the opposite leg divided by the hypotenuse in a right triangle.

In this case, the opposite leg would be 1 and the hypotenuse would be 2. We can use the relationship from the Pythagorean theorem to find the value of the adjacent leg:

`a^2 = h^2 - o^2, a^2 = 2^2 - 1^2, a^2 = 3, a = \sqrt3.`

Therefore, the value of x is the angle whose sine is 1/2 in the interval [0, 90°] is x = arcsin(1/2) = 30°.