6. Decide if the following relation are reflexive, symmetric or transitive:
(i) R : Z −→ Z by, xRy ⇐⇒ x = −y.
(ii) R : R −→ R by, xRy ⇐⇒ cos2
(x) + sin2
(y) = 1.
(iii) R : N −→ N by, xRy ⇐⇒ p, q ≥ 1, y = pxq where p, q ∈ Z.
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