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 does "to see the elephant mean"?
estimate for 412*5.904/0.195any one knw the estimate for this and how to work it out
There are 25 servings in 12.5 once bottle of olive oil. How many oncees are in a serving?
how are airplanes artificially pressurized?
what is the comparative and superlative of many, lazy, smooth, and rough
1. What are the next three terms in the sequence?-1 ,9 ,19 ,29 . . .A. 38, 37, 32B. 40, 51, 62C. 39, 49 , 59D. 38, 47, 562. What are the next three terms of the
Solve for y.8^3-3y=256^4y
Is sky an abstract noun??? X
solve the formula for the indicated variable  c=yt+y,for t (the solution is t=___)
Which Property of Equality should be used first to solve the equation p/7 - 5 = -3 for p Addition Property of Equality Subtraction Property of Equality Multipli