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Solution 34616: Inverse Cosine of the Tangent of -5π/4 on the TI-83 Plus and TI-84 Plus Family of Graphing Calculators.

...1 but something like -1.0000000000001. The display routine on the calculator is designed to display -1 instead of the internal number. However, arcos function will take the internal number -1.0000000000001 as input and determines it is out-of-range. Try the following example to get the same resul...
https://education.ti.com/en/customer-support/knowledge-base/ti-83-84-plus-family/product-usage/34616