Equivalence classes of 'congruent mod 3' on Z:
A1 class
BRandom
CInfinite
D3 classes: [0], [1], [2]
Answer & Solution
Correct answer: D. 3 classes: [0], [1], [2]
3 classes: {..., -6, -3, 0, 3, 6, ...} = [0]
[1] = ..., -5, -2, 1, 4, 7, ...
[2] = ..., -4, -1, 2, 5, 8, ... Union = Z. Disjoint.
3 cosets of subgroup 3Z.
Keep practising Unit 1A2: Trigonometric Functions & Inverse Trig
Browse all Unit 1A2: Trigonometric Functions & Inverse Trig questions for AP Calculus AB, or explore more Mathematics topics.
Related questions
In a right triangle, for an acute angle θ, sin θ is defined as:A relation $f$ from $A$ to $B$ is a function if every element of $A$ has:The domain of $f(x)= qrt{4-x^2}$ is:If $(x+1,\,y-2)=(3,\,1)$, then $(x,y)$ equals:The domain of $f(x)= qrt{x-1}$ is:The range of the function $f(x)=x^2,\; x\in\mathbb{R}$ is:The domain of the function $f(x)=\dfrac{1}{x-2}$ is:The reciprocal of sin θ is: