Asked by Sarah
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.
Answers
Answered by
drwls
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
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
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