Use a graphing calculator to solve the equation in the interval from 0 to 2 π. Round to the nearest hundredth.

7 cos (2t) = 3

1 answer

Using a graphing calculator, follow these steps to solve the equation:

1. Press the "mode" button and make sure the calculator is in "radian" mode.
2. Press the "y=" button and enter the equation 7cos(2x)-3.
3. Press the "zoom" button and select "Zoom Standard" to view the entire graph.
4. Press the "2nd" button and then "trace" button to access the "Calculate" menu.
5. Select "zero" to find the zeros of the function.
6. Move the cursor close to the first zero and press "enter" to calculate it.
7. Move the cursor close to the second zero and press "enter" to calculate it.
8. Round the zeros to the nearest hundredth.
9. The solutions in the interval from 0 to 2π are:

t ≈ 0.74 and t ≈ 2.40

Therefore, the solutions to the equation 7cos(2t) = 3 in the interval from 0 to 2π are approximately t = 0.74 and t = 2.40.