Respuesta :

In terms of sine and cosine, the right side is

... 1/sin(x)² - cos(x)²/sin(x)²

... = (1-cos²(x))/sin²(x)

... = sin²(x)/sin²(x) = 1

Then the equation becomes

... 3tan²(x) -2 = 1

... 3tan²(x) = 3

... tan(x) = ±√(3/3) = ±1

In the given range, the solutions are x = {pi/4, 3pi/4}.

Ver imagen sqdancefan