Use a graphing calculator to solve the equation 3 tanone-thirdtheta= 8 in the interval from 0 to 2pi. Round your answers to the nearest hundredth.
(1 point)
1.21, 4.35
3.64
1.21, 2.26, 3.31, 4.35, 5.40
0.404, 1,452.5, 3.55, 4.59, 5.64
To solve the equation 3 tan(1/3θ) = 8, we need to isolate tan(1/3θ) first.
Divide both sides by 3: tan(1/3θ) = 8/3
Now, use a graphing calculator to find the solutions in the interval from 0 to 2π (0 to 6.28 approximately) for tan(1/3θ) = 8/3.
The solutions are approximately:
θ = 1.21, 2.26, 3.31, 4.35, 5.40
Therefore, the correct answer is:
1.21, 2.26, 3.31, 4.35, 5.40