Solve the equation on the interval 0 <= theta < 2pi for cot (theta) = 2. I know the answer is .46,3.61, but I don't know how to arrive at that answer on a ti-84 calculator.

1 answer

If cot(theta_ = 2, tan(theta) = 1/2

tan^-1(0.5) is 0.464 radians (26.57 degrees)

I don't have a TI-84 but your calculator should have a tan^-1 (arctan) function key. Make sure you are in the radians mode for angles.

The other angle with arctan 1/2 in that 0 to 2pi interval is in the third quadrant and is pi + 0.464 = 3.606 radians