Trigonometric reduction formulas

[Jan 11]

I wonder why HP PRIME does not implement the full list of trigonometric reduction formulas. This applies to the basic trigonometric functions: SIN, COS, TAN, COT for two angle measures (degrees and radians). If we set the calculator in radians, most of the reduction formulas are made. The exception is the TAN function. For example: he will make such a reduction: TAN (π-x) = - TAN (x) or TAN (π +x) = TAN (x). However, it will not do others, e.g. TAN (π / 2-x) or TAN (π / 2 + x) or TAN (3 * π / 2 + x) etc.
If the calculator is set in degrees, it will not perform any trigonometric reduction (see this in the attached screenshots). All competition calculators (TI-Nspire CX-II-T CAS, CASIO CLASSPAD CP-400) have been using these formulas for many years. I think HP PRIME should also have it.