Question

if tanA + cotA =2 then find tan squareA + cot squareA

Answer 1

2 is the right answer

Answer 2

tanA + cotA =2
squaring both sides we get
(tanA + cotA)^2 = 4
tan^2 A + cot^2 A + 2tanAcotA= 4
we know tanA * cotA = 1
thus

tan^2 A + cot^2 A + 2 = 4

tan^2 A + cot^2 A = 2 (answer)

hope it helps!!!!!