Let shx and chx be hyperbolic sine function and cosine function,the calculation formula Σ(-1)kdkshrkx，∑（-1）kdkchrkx,which are the product sum of the power alternated with positive and negative of hyperbolic sine function and cosine function and geometrical sequence,as well as teh formula ∑（-1）kshrkxsinkβ，∑（-1）kshrkxcoskβ,which are the product sum of the power alternated with positive and negative of hyperbolic sine function and cosine function and trigonometric function,are obtaained by function-generating method.