TsyyionDelFuego
TsyyionDelFuego TsyyionDelFuego
  • 07-08-2018
  • Mathematics
contestada

Anybody know the right answer?

Anybody know the right answer class=

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sqdancefan
sqdancefan sqdancefan
  • 07-08-2018

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}.

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