1.

Ifsin alpha + sin beta = a , cos alpha + cos beta = b " thencos ( alpha + beta ) =

Answer»

`SIN((alpha-beta)/2)=+-sqrt((a^(2)+b^(2))/4)`
`cos((alpha-beta)/2)=sqrt((a^(2)+b^(2))/2)`
`tan((alpha-beta)/2)=+-sqrt((4-a^(2)-b^(2))/(a^(2)+b^(2)))`
`tan((alpha-beta)/2)=+-sqrt((4+a^(2)+b^(2))/(a^(2)+b^(2)))`

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