Given that ∂ denotes declination,θ  the latitude of the place of observation and the altitude of a star at prime vertical α , then:-

1
Sin δ  = Sin θ  Cos α 
2
Sin θ  = Sin δ  Cosec α  
3
Cos θ = Cos α Sin δ 
4
Sin α  =  Sin θ  Cos δ 

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