If lies in the fourth quadrant and 3 +4=0 , then what is the value of 2 + 2 ?

Step-by-step solution

Given 3 + 4 = 0 = - 4 3 Since lies in the fourth quadrant, > 0 and From = - 4 3 , we can consider the base as 4 and the perpendicular as 3 . Hypotenuse = 4^2 + 3^2 = 5 Therefore, = - 3 5 and = 4 5 . Using double angle formulas: 2 = 2 = 2 (- 3 5 ) ( 4 5 ) = - 24 25 2 = ^2 - ^2 = ( 4 5 )^2 - (- 3 5 )^2 = 16 25 - 9 25 = 7 25 Adding both values: 2 + 2 = - 24 25 + 7 25 = - 17 25 Answer: - 17 25