Use a graphing calculator to solve the equation -3 cos t=1 in the interval from 0 to 2p.Round to the nearest hundredth
An excellent grapher can be found at
http://rechneronline.de/function-graphs/
Just enter
-3*cos(x)
as your function
To solve the equation -3 cos t = 1 using a graphing calculator, you can use the graphing feature to find the values of t that satisfy the equation within the given interval.
Here are the steps to follow:
1. Enter the equation into your graphing calculator as y = -3 cos(x) - 1. Make sure your calculator is in radian mode.
2. Set the window range to the interval from 0 to 2π (or 0 to 6.28 if your calculator uses decimal approximations).
3. Graph the equation to see the cosine curve.
4. Look for the intersection points where the graph of y = -3 cos(x) - 1 crosses the x-axis. These points represent the solutions to the equation.
5. Use the calculator's zoom and trace features to get a closer look at the intersection points and determine their coordinates.
6. Round the solutions to the nearest hundredth to get your final answer.
By following these steps, you should be able to find the solutions to the equation -3 cos t = 1 within the interval from 0 to 2π.