Use a graphing calculator to solve the equation -3cost=1 in the interval from.0<theta<2pi Round to the nearest hundredth.
cost = -1/3
Quad II and III
Θ = ± 1.91
use a graphing calculator to solve the equation in the interval from 0 to 2pi round to the nearest hundredth 4 cos(t)=3
$t = 0.87, 5.5$ (rounded to the nearest hundredth and in radians)
To solve the equation -3cos(t) = 1 in the interval 0 < theta < 2pi using a graphing calculator, follow these steps:
1. Enter the equation into the graphing calculator: -3*cos(t) = 1.
2. Set up your calculator to visualize the graph of the equation in the specified interval. You can set the window settings based on the interval given (0 < theta < 2pi). Adjust the x-axis to go from 0 to 2pi.
3. Once you have entered the equation and set up the window, graph the equation on the calculator. It should display a graph of -3cos(t) and a line representing y = 1.
4. Look for the points where the graph of -3cos(t) intersects with the line y = 1. These points represent the solutions to the equation -3cos(t) = 1 in the specified interval.
5. Zoom in or trace along the graph to find the coordinate points corresponding to the points of intersection. These points will have their x-values as the solutions for the equation.
6. Round the x-values to the nearest hundredth to get the final answers.
Following these steps with a graphing calculator will allow you to find the solutions to the equation -3cos(t) = 1 in the interval 0 < theta < 2pi and round them to the nearest hundredth.