Question

if
tan A+ cot A = 2, then what is the value of
tan²A + cot²A?​

Answer 1

Answer:

tanA+cotA=2 that is given

hence square both sides

(tanA+cotA) ²=(2) ²

tan²A+cot²A+2tanA.cotA=4

tan²A+cot²A+2tanA.1/tanA=4 (as cot and tan are reverse of each other)

tan²A+cot²A+2=4

tan²A+cot²A=2