Question

Im trying to use the solve function for trigonometic equations and I want my answer to be within the range of 0 and 2 pi, but I forgot how to do it.

example:

"solve(1/3=sin(x) and x<2pi, {x})

Answer 1

To use the "solve" function on a TI-84 Plus calculator to solve a trigonometric equation and restrict the answer to the range of 0 to 2π, you can follow these steps:

1. Press the "MODE" button on the calculator.
2. Use the arrow keys to navigate to the "ANGLE" option in the second row of the mode menu.
3. Press the right arrow key to highlight the "DEGREE" option.
4. Press "ENTER" to select the "DEGREE" option if you want your answer in degrees. Alternatively, select the "RADIAN" option if you want your answer in radians.
5. Press the "Y=" button to enter the equation you want to solve.
6. Use the trigonometric functions on the calculator to enter the equation. For example, to enter the equation sin(x) = 1/2, you would type "sin(x) = 1/2".
7. Press the "2ND" button followed by the "CALC" button to access the "solve(" function.
8. Type the lower limit of the range you want to restrict your answer to, followed by a comma, then type the upper limit of the range followed by a comma, then type the variable name you used in your equation. For example, if you want your answer to be in the range of 0 to 2π, and you used "x" as your variable, you would type "solve(sin(x) = 1/2,0,2π,x)".
9. Press "ENTER" to solve the equation and get the answer within the specified range.

The calculator will display the solution(s) within the specified range. If there is more than one solution, the calculator will display them all.