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bearhunter [10]
3 years ago
15

What are all the exact solutions of -3tan^2x+1=0? Give your answers in radians.

Mathematics
1 answer:
Mazyrski [523]3 years ago
3 0

Answer:

  x = ±π/6 +kπ . . . for any integer k

Step-by-step explanation:

Solving for x, we have ...

  1 = 3tan(x)² . . . . . add 3tan(x)²

  ±√(1/3) = tan(x) . . . divide by 3, take the square root

  x = arctan(±√(1/3)) +kπ . . . . use the inverse function to find x

  x = ±π/6 +kπ

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Step-by-step explanation:

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3 0
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3 years ago
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fgiga [73]

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2 years ago
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