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

x = π n_1 + π/6 for n_1 element Z

or x = π n_2 - π/6 for n_2 element Z

Step-by-step explanation:

Solve for x:

1 - 3 tan^2(x) = 0

Subtract 1 from both sides:

-3 tan^2(x) = -1

Divide both sides by -3:

tan^2(x) = 1/3

Take the square root of both sides:

tan(x) = 1/sqrt(3) or tan(x) = -1/sqrt(3)

Take the inverse tangent of both sides:

x = π n_1 + π/6 for n_1 element Z

or tan(x) = -1/sqrt(3)

Take the inverse tangent of both sides:

 x = π n_1 + π/6 for n_1 element Z

or x = π n_2 - π/6 for n_2 element Z

for any of you who need the translation here it is

step-by-step explanation:

find the angular size of the equatorial radius of the earth, if the horizontal parallax of the sun

glide reflection.

its mainly because the pattern will be infinite and will never end. it will look like a gilder or like a filpbook when set to motion.