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

which of the following is true for the angular momentum of rotating bicycle wheel
In which environment would the shell of an organism most likely be preserved as a fossil (earth science, 9th grade) A.on the top of a hill B.on the banks of a
(a midsummer night's dream, act 2) Why does Puck make a mistake with the love potion? a. He only knows he should be looking for an Athenian. c. He acts out of s
Five positive numbers with a median of 10 and a mean of 14
During Jefferson's administration, which of the following represented his tenure? He believed the power of his government depended upon its popularity. Jeffers
Which sentence in the passage should be revised for wordiness? You have probably heard someone say that breakfast is the most important meal of the day. This st
What is the thermal energy of an object
can someone help me with dis question thx. btw hurry asap bc i need to get this done fast.
4ft = ?m PLEASE HELP ME
What is 2(5-n) in a word phrase