Question

If tan A + cot A = 2 , then ( tan 2 A + cot 2 A ) is equal to (a) 5 ( b)  5 (c) 2 (d)  2​

Answer 1

Step-by-step explanation:

tanA + cotA = 2

(tanA + cotA)² = 2² —(Squaring both sides)

tan²A + cot²A + 2tanAcotA = 4 —(From formula)

[we know tanA = 1/cotA] So tanA.cotA = 1

tan²A + cot²A + 2 = 4

Tan²A + Cot²A = 2