johnnyschuerman johnnyschuerman
  • 03-05-2020
  • Mathematics
contestada

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

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 04-05-2020

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

Answer Link

Otras preguntas

What quality best describes Quakers?A.PeacefulB.AngryC.GreedyD.Closeminded
What was an immediate cause of the 1789 French Revolution?
In "The Lady, or the Tiger?," if the princess directs him to the door with the tiger behind it, she will do so because she _____.
If a university wants to maintain a 14:1 ratio between students and teachers, how many teachers would be needed to accommodate 896 students? a. 14 teachers b.
Why did Spanish colonists begin to rely more heavily on the Atlantic slave trade by the mid-1500s?
How can the growth in the chart best be described?
What was an immediate cause of the 1789 French Revolution?
T o f For most people, the more vigorous and longer lasting the exercise, the greater the health benefits.
toothbrush 95g toiletries 1.4kg shoes 3 1/8 kg beach towel 0.6kg clothes 8580g what's the total weight
What refers to the ability of individuals or groups to induce or influence the beliefs or actions of other individuals or groups? Options Power Responsibility D