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

Genes are arranged on a twisted strands called.
Is I’m doing this right guys
were do babies come from?​
8. The amount of energy the producers in this energy pyramid provide the primary consumers is 54,000 joules. From this amount, 540 joules are provided to the t
Name one example of a mineral in the form of :(a) element (b) natural compound ​
Pls help me!!! ( pls dont answer if you don’t have the answer I will report you ...). Look at the picture! A manufacturer wants to design a container with a vo
The arrow labeled with the number 1 on the map above is pointing to the __________ Sea.
Which best describes the US armed forces during World War II? integrated all white mostly African American segregated
takes the perspective that a program describes what the solution to a problem is, not how that problem is solved. Select one: a. Interpretive programming b. Res
The sum of two numbers is 24.The difference of their square is 144.what are the two numbers?​