Weighted spatial averages across grid cells in NetCDF file

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Weighted spatial averages across grid cells in NetCDF file

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Hi there,
I am currently working on a project that involves climate model data stored in a NetCDF file. I am currently trying to calculate "weighted" spatial annual "global" averages for precipitation. I need to do this for each of the 95 years of global precipitation data that I have. The idea would be to somehow apply weights to each grid cell by using the cosine of its latitude (which means latitude grid cells at the equator would have a weight of 1 (i.e. the cosine of 0 degrees is 1), and the poles would have a value of 1 (as the cosine of 90 is 1)). Then, I would be in a position to calculate annual weighted averages based on averaging each grid cell. 
I have an idea how to do this conceptually, but I am not sure where to begin writing a script in R to apply the weights across all grid cells and then average these for each of the 95 years. I would greatly appreciate any help with this, or any resources that may be helpful!!!
At the very least, I have opened the .nc file and read-in the NetCDF variables, as shown below:
get<-ncvar_get(Model,"onedaymax")longitude<-ncvar_get(Model, "lon")
latitude<-ncvar_get(Model, "lat")
Year<-ncvar_get(Model, "Year")

Also, if it helps, here is what the .nc file contains:

3 variables (excluding dimension variables):
        double onedaymax[lon,lat,time]   (Contiguous storage)  
            units: mm/day
        double fivedaymax[lon,lat,time]   (Contiguous storage)  
            units: mm/day
        short Year[time]   (Contiguous storage)  

     3 dimensions:
        time  Size:95
        lat  Size:64
            units: degree North
        lon  Size:128
            units: degree East
Again, any assistance would be extremely valuable with this! I look forward to your response!
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