Psalms 43:4

4 Then I will go
The cohortative expresses the psalmist’s resolve. Prefixed with the vav (ו) conjunctive it also expresses the result or outcome of the preceding verbs “lead” and “escort.”
to the altar of God,
to the God who gives me ecstatic joy,
Heb “to God, the joy of my happiness.” The phrase “joy of my happiness” employs an appositional genitive. Synonyms are joined in a construct relationship to emphasize the degree of the psalmist’s joy. For a detailed discussion of the grammatical point with numerous examples, see Y. Avishur, “Pairs of Synonymous Words in the Construct State (and in Appositional Hendiadys) in Biblical Hebrew,” Semitics 2 (1971): 17-81.

so that I express my thanks to you,
The cohortative with vav (ו) conjunctive probably indicates purpose (“so that”) or intention.
O God, my God, with a harp.
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