Evaluating Compositions of Trig & Inverse Trig Functions

GeoGebra Commands & Parameters

1. Random(1, 6) → a
2. Random(1, 3) → b
3. RandomElement(nlist) → n
4. Sequence(i, i, abs(n), 9, 1) → l1, {4, 5, 6, 7, 8, 9}
5. RandomElement(l1) → c
6. FractionText(d) → text1
7. If(b ≟ 1, asind(d), b ≟ 2, acosd(d), b ≟ 3, atand(d)) → α
8. If(a ≟ 1, sin(α), a ≟ 6, cot(α), a ≟ 2, cos(α), a ≟ 3, tan(α), a ≟ 4, csc(α), a ≟ 5, sec(α)) → e
9. SurdText(e) → text2
10. If(a ≟ 1, sin(x), a ≟ 6, cot(x), a ≟ 2, cos(x), a ≟ 3, tan(x), a ≟ 4, csc(x), a ≟ 5, sec(x)) → f
11. If(b ≟ 1, asind(x), b ≟ 2, acosd(x), b ≟ 3, atand(x)) → g
12. If(a ≟ 1, "sin", a ≟ 6, "cot", a ≟ 2, "cos", a ≟ 3, "tan", a ≟ 4, "csc", a ≟ 5, "sec") → text3
13. If(b ≟ 1, "arcsin", b ≟ 2, "arccos", b ≟ 3, "arctan") → text4
14. Line(A, A + (1, 0)) → m
15. Point(Ray[A, (1, 0)]) → B
16. Point(Ray[B, B + (0, 1)]) → C
17. Angle(C, B, A) → β
18. Polygon(A, B, C) → t1, c_1, a_1, b_1
19. Segment(A, B) → p
20. Segment(B, C) → q
21. Segment(C, A) → r
22. Random(1, 9) → o
23. If(v ≟ 1, s(x) / n, n / s(x)) → t
24. Textfield(g_1) → InputBox1