Wolfram Language (Mathematica), 71 bytes

#/2|Ramp@Round[DMSList/@{c@#,2c[1+#]-2c@#}]&~Array~360
c=120Sin[#/4°]&

Try it online!

Yields a list of rows expressed as θ | {{chord...}, {sixtieths...}}.

DMSList conveniently converts a number into its integer part and two sexagesimal places. We can multiply the sixtieths by 60 to extract its three parts using the same function.

Wolfram Language (Mathematica), 71 78 bytes

+7 fix a bug noted by Arnauld

#/2|Ramp[DMSList/@Round[{c@#,2c[1+#]-2c@#},60^-2]]&~Array~360
c=120Sin[#/4°]&

Try it online!

Yields a list of rows expressed as θ | {{chord...}, {sixtieths...}}.

DMSList conveniently converts a number into its integer part and two sexagesimal places. We can multiply the sixtieths by 60 to extract its three parts using the same function.

Wolfram Language (Mathematica), 71 bytes

#/2|Ramp@Round[DMSList/@{c@#,2c[1+#]-2c@#}]&~Array~360
c=120Sin[#/4°]&

Try it online!

Yields a list of rows expressed as θ | {{chord...}, {sixtieths...}}.

Wolfram Language (Mathematica), 71 bytes

#/2|Ramp@Round[DMSList/@{c@#,2c[1+#]-2c@#}]&~Array~360
c=120Sin[#/4°]&

Try it online!

Yields a list of rows expressed as θ | {{chord...}, {sixtieths...}}.

DMSList conveniently converts a number into its integer part and two sexagesimal places. We can multiply the sixtieths by 60 to extract its three parts using the same function.