Find all solutions of the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to two decimal places where appropriate.)

tan^2 θ − 3 = 0

tan^2 Ø = 3

tanØ = ±√3

Ø = 60° , 120° , 240° , 300°

I will leave it up to you to change to general solution
or to radians , remember 60° = π/3 radians

To find the solutions of the given equation, we need to solve for the value of θ.

The given equation is: tan^2 θ - 3 = 0

Step 1: Rearrange the equation to isolate the tangent function.
tan^2 θ = 3

Step 2: Take the square root of both sides.
tan θ = ± √3

Step 3: Find the angle θ using the inverse tangent function.
θ = arctan(± √3)

Step 4: Apply the principal values of the inverse tangent function.
Since θ can be any integer multiple of π, we can add or subtract π from the angle θ.
θ = arctan(√3) + kπ
θ = arctan(-√3) + kπ

Now, we can express the solutions as a comma-separated list:
θ = arctan(√3) + kπ, where k is an integer
θ = arctan(-√3) + kπ, where k is an integer

Note: When rounding terms to two decimal places, apply the rounding only at the end of the calculation if needed. In this case, the solutions are in terms of the inverse tangent function, so we don't need to round the values.