Question

Verify the identify. Justify each step.

tan ⊖ + cot ⊖ = 1/sin⊖cos⊖

Answer 1

tan ⊖ + cot ⊖ = 1/sin⊖cos⊖

sin ⊖ / cos ⊖ + cos ⊖/sin ⊖ = 1/sin⊖cos⊖

(sin ⊖*sin ⊖ + cos ⊖*cos ⊖)/sin⊖cos⊖ = 1/sin⊖cos⊖

[(sin ⊖)^2 + (cos ⊖)^2 ] /sin⊖cos⊖ = 1/sin⊖cos⊖

1/sin⊖cos⊖ =1/sin⊖cos⊖