If p ( -30^ )=q ( +120^ ) , then what is (p+q) (p-q) equal to? equal to?

Step-by-step solution

We have. aligned & p ( -30^ )=q ( +120^ ) & p q = ( +120^ ) ( -30^ ) & = ( +120^ ) ( -30^ ) ( +120^ ) ( -30^ ) aligned Using componendo and dividendo rule, gathered p+q p-q = ( +120^ ) ( -30^ )+ ( +120^ ) ( -30^ ) ( +120^ ) ( -30^ )- ( +120^ ) ( -30^ ) p+q p-q = [ ( +120^ )+ ( -30^ ) ] [ ( +120^ )- ( -30^ ) ] = (90^ +2 ) (150^ ) p+q p-q = (90^ +2 ) ( 1 2 ) =2 2 gathered