Use a graphing calculator to solve the equation in the interval from 0 to 2 π . Round to the nearest hundredth.7cos(2t)=3 show all work in short termss

Answer 1

To solve the equation 7cos(2t) = 3 in the interval from 0 to 2π using a graphing calculator, follow these steps:

1. Enter the equation into the graphing calculator as y1 = 7cos(2x) - 3
2. Graph the equation
3. Use the calculator's intersect function to find the points where the graph intersects the x-axis
4. The x-values of these points will be the solutions to the equation in the interval from 0 to 2π

Using the graphing calculator, the solutions to the equation 7cos(2t) = 3 in the interval from 0 to 2π are approximately:

t ≈ 0.325π, 1.675π, 2.325π, 3.675π

Therefore, the solutions in the given interval rounded to the nearest hundredth are t ≈ 1.03, 5.27, 7.32, 11.56.