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Z with subscript

Trying to solve some equation and faced with z with subscript notation. Tried to google it but failed.

eq = cos(t) + 6 - 5 - 1.5 * sin(t) == 0
sol = solve([eq], t, to_poly_solve = true)
show(sol)

Guess it means any integer. But what do numbers after z mean? Can I set certain integer manually and calculation answer?

Z with subscript

Trying to solve some equation and faced with z z with subscript notation. Tried to google it but failed.

sage: t = SR.var('t')
sage: eq = cos(t) + 6 - 5 - 1.5 * sin(t) == 0
sage: sol = solve([eq], t, to_poly_solve = true)
show(sol)
to_poly_solve=True)
sage: sol
[t == pi + 2*pi*z1798, t == 2*pi*z1816 + arctan(12/5)]

Guess it means any integer. z1798 and z1816 mean "any integer". But what do numbers after z mean? mean?

Can I set certain an integer manually and calculation answer?calculate the corresponding solution?

Z with subscript

Trying to solve some equation and faced with z with subscript notation. Tried to google it but failed.

sage: t = SR.var('t')
sage: eq = cos(t) + 6 - 5 - 1.5 * sin(t) == 0
sage: sol = solve([eq], t, to_poly_solve=True)
sage: sol
[t == pi + 2*pi*z1798, t == 2*pi*z1816 + arctan(12/5)]

Guess z1798 and z1816 mean "any integer". But what do numbers after z mean?

Can I set an integer manually and calculate the corresponding solution?