Use a graphing calculator to solve the equation in the interval from 0 to 2pi
Round to the nearest hundredth.
7 cos (2t) = 3
To solve the equation 7cos(2t) = 3 in the interval from 0 to 2pi, you can use a graphing calculator to find the value of t that satisfies the equation.
1. Enter the equation into the graphing calculator as follows: y1 = 7cos(2x), y2 = 3.
2. Graph the two equations on the same window in the interval from 0 to 2pi.
3. Find the point(s) of intersection between the two graphs, which represent the solutions to the equation.
4. The approximate value of t that satisfies the equation is the x-coordinate of the point(s) of intersection.
Using a graphing calculator, you should get t ≈ 1.23 as the solution to the equation 7cos(2t) = 3 in the interval from 0 to 2pi.