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

your answer is 23/2 - 13.5

step-by-step explanation:

7/2 evaluates to

multiply x and 4.5

multiply x and 1

the x just gets copied along.

the answer is x

x

4.5*x evaluates to 4.5x

multiply 3 and 4.5x

multiply 1 and x

the x just gets copied along.

x

4.5*x*3 evaluates to 13.5x

7/2-4.5*x*3 evaluates to

  + 8 =

the answer is

7/2-4.5*x*3+8 evaluates to

the final price would be 29.6925

step-by-step explanation:

39.59 minus 25% equals 29.6925