Trinitarians routinely interpret this verse in a variety of ways and even will interpret this verse to God begetting Jesus in eternity past (before creation existed). The Scriptural facts show us explicitly that this Psalm was fulfilled when God raised Jesus from the dead. To learn more click Psalm 2:7.
The Hebrew text of Psalm 8:5 reads "lower than Elohim." The Hebrews writer quotes this passage as, "lower than the angels." The obvious implication is that angels are elohim. However, Trinitarians have an aversion to identifying angels as "elohim." Because of this, some Trinitarian apologists actually have the audacity to claim the Hebrews writer was mistaken to quote this Psalm as a reference to angels. Learn more on Psalm 8:5.
Peter quotes from Psalm 16 in reference to Jesus' death and resurrection. He quotes these words saying they refer to Jesus as a prophecy of David. When we look at this Psalm it makes it clear Jesus's God was YHWH. Click Psalm 16 to learn how.
Just before his death on the cross, Jesus uttered the opening words of the 22nd Psalm. At Matthew 27:41-43, Matthew also quotes verses 7-8 of the following Psalm as a fulfillment of this prophecy. See also Mark 15:29ff. and Luke 23:35ff.
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It is very enlightening to read the entire Psalm in this context while realizing Jesus spoke those words in verse 1 and the prophecy at verses 7-8 was being fulfilled at the Cross. Jesus trusts YHWH as his God. Click Psalm 22 to see more.
Trinitarians claim that Jesus quotes this verse to show how God called such men "gods" in order to then claim how much more should he, Jesus, be called "God" since in fact he IS "God" in response to the Trinitarian translation of John 10:33, "make yourself God." This particular claim is also heavily dependent upon their interpretation/translation of John 10:33.
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"Sons of God" are elohim but they are not the creator. Click Psalm 82:6 to see more.
Trinitarians usually like to claim David could not have called his son Jesus 'Lord' unless his son Jesus was also 'God." When David was King, he was the Lord of Israel and his Lord was God (1 Kings 1:36). Israel's Lord, David, was not the Lord God. In Acts 2, Peter informs us plainly that Psalm 110:1 was fulfilled when the Lord God raised Jesus from the dead and made him Lord by seating him at His right hand. Click Psalm 110:1 for a more in-depth explanation.
In verse 1, Yahweh calls the Messiah to sit at His right hand. Since the Messiah is seated to the right of God, Trinitarians then claim that verse 5 indicates that Yahweh is at Yahweh's right hand. Therefore, they conclude, Jesus is Yahweh. The facts show us that this kind of language refers to God being with someone purposefully in terms of His power and strength. Click Psalm 110:5 to read more.