Unless there are other meanings of the terms I'm not aware of, they are referring to slightly different things.
Haplotype 'phase' refers to whether alleles are found on the same chromosome (paternal or maternal). Hence, 'phasing' refers to the statistical / read-based process of determining which chromosome a genetic variant is found on. 'Unphased' data, typically produced by genotyping arrays or sequencing technology (e.g. short Illumina reads), doesn't contain information about which chromosome a variant is on.
In some contexts, cis/trans terminology refers to whether a locus (e.g. a eQTL/pQTL) is found near the gene it corresponds to. For instance, say you run a GWAS on protein levels and find a significant hit for a locus controlling the level of the protein X. If this locus is within some kind of threshold distance of the gene encoding protein X, perhaps 2Mb, then it is known as a 'cis' ('on the same side as'). Otherwise, if the locus is found distal to gene encoding protein X, it is known as a 'trans' locus. Similarly, 'cis' regulatory elements are regions of non-coding DNA which regulate the transcription of nearby genes.
For example, from this paper:
In the cis-eQTL analysis, we evaluated the associations between lncRNA
expression levels and the genotype at a given SNP locus located within
1 Mb upstream and 1 Mb downstream of lncRNA. trans-eQTLs are defined
as associations beyond the 2-Mbp interval.