Question

If sin a + cos a = root 3 then prove that tan a + cot a = 1

Answer 1

Answer:

Step-by-step explanation:

sin a+ cos a =√3

sin²a + cos ²a + 2 sin a cos a = 3

2 sina cosa = 2

sina cos a = 1

sina / cosa + cos a / sin a

= sin²a + cos ²a / sina cos a =  1 / 1 = 1