Question
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
(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
Answers
Answered by
GPT 3.5
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
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