The least value of tan²x + cot²x is?

A. 3

B. 2

C. 0

D. 1

Answer: Option B

Solution(By Examveda Team)

$${\text{ta}}{{\text{n}}^2}x + {\text{co}}{{\text{t}}^2}x$$
We know that the value of tan²x and cot²x is minimum at 45°
$$\eqalign{ & \therefore {\text{ta}}{{\text{n}}^2}{45^ \circ } + {\text{co}}{{\text{t}}^2}{45^ \circ } \cr & = 1 + 1 \cr & = 2 \cr} $$