Question

(Senx + cscx)^2 = Sen^2x + Cot^2x +3

Answer 1

$(sen(x)+csc(x))^{2} =sen^{2}(x)+cot^{2}(x)+3 \\ \\ (sen(x)+csc(x))^{2}\\ \\ sen^{2}(x)+2sen(x) csc(x)+csc^{2}(x) \\ \\ sen^{2}(x) 2sen(x)\frac{1}{sen(x)} +csc^{2}(x)\\ \\ sen^{2}(x) +2+csc^{2}(x)\\ \\ sen^{2}(x)+2+1+cot^{2}(x)\\ \\ =sen^{2}(x)+cot^{2}(x)+3$