Use a calculator to solve csc (theta) = -3. I know the answer is 3.48 and 5.94 but I need the steps to take on the calculator to arrive at the answer. I have a ti-84 calculator. thanks!

if csc(theta) = -3.1, sin(theta) = -1/3.1 = -0.3226

arcsin(-0.3226) = 5.9547 radians
The reference angle is 0.3285 radians. Add that to pi for the other angle. I get 3.47 radians, not 3.48

To solve csc(theta) = -3 on a TI-84 calculator, you can follow these steps:

1. Press the "MODE" button on your calculator.
2. Select degrees (DEG) mode by using the arrow keys and pressing ENTER.
3. Press the "2nd" button, followed by the "sin" button. This will bring up the inverse sine function, also known as arcsin or sin^(-1).
4. Enter "-3" using the number keys, followed by the closing parenthesis ")".
5. Press ENTER to calculate the result.

The calculator will display the principal value of theta, which is the smallest angle that satisfies the equation csc(theta) = -3. However, it is worth noting that the sine function is periodic, so there are infinitely many solutions to this equation. The values 3.48 and 5.94 that you mentioned are likely additional solutions that can be found by adding integer multiples of the period to the principal value.