cosalphabeta if sin alpha 01102 and sin beta 06249 cosalphab

Solution

given sin alpha =0.1102 , sin beta = 0.6249

let alpha =a, beta =b

cos a = sqrt (1-sin²a) = sqrt(1-0.1102²) = 0.9939

cosb = sqrt(1-sin² b) = sqrt(1-0.6249²) = 0.7807

cos(a-b) = cosa cosb + sina sinb = 0.9939*0.7807 + 0.1102*0.6249 = 0.8448