Question

sen*2 x - cos*2 x = 1/2

Answer 1

Solución:
=> Sen(x)^2  - Cos(x)^2 = 1/2

=> Sen(x)^2 - (1 - Sen(x)^2) = 1/2

=> Sen(x)^2 - 1 + Sen(x)^2 = 1/2

=> 2 Sen(x)^2 - 1 = 1/2

=> 2 Sen(x)^2 = 1/2 + 1

=> 2 Sen(x)^2 = 3/2

=> Sen(x)^2 = 3 /4
.......________.......____
=> V(Sen(x)^2) = V(3/4)
.....................__
=> Sen(x) = V(3) / 2
...........................__
=> X = arcoSen( V(3)  / 2)

=> X = +- 60º .......(RESPUESTA).

Espero haberte colbaorado. Suerte.