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

Connecting many devices in a single socket does not affect the flow of current in a circuit. True or False
Find the length of the side of a square whose area ir 441sq.m​
Read the headline and answer the question.What would MOST LIKELY be discussed under this headline?A the establishment of a Jewish stateB the resolution of the S
The expression ( x 3)( x -17) is equivalent to xn. What is the value of n ?.
Rounded to the nearest tenth, approximately how many kilometers is 4,170,000 inches? A. 10.6 kilometers B. 16.4 kilometers C. 106 kilometers D. 164.2 kilome
I need help in this question please
How do your pets enhance your life? If you do not have any pets, how do you envision a pet would enhance your life?
a pet store donated 50 lbs of food for adult dogs, puppies, cats to an animal shelter. 16 3/4 pounds was adult dog and 16 7/8 was puppy food.. how many lbs was
What famous filmmaker performed magic for servicemen during wwii?.
This substance is found between the vertebral bones (the vertebrae.) 1.) Cartilage 2.) Epicondyle 3.) Bone 4.) Epidermis