Question

If tan A + cot A = 5, then find the value of tan²A
+ cot²A.​

Answer 1

Answer:

tan A + cot A = 5

Squaring both the sides,

(tan A + cot A)² = 5²

tan²A  + cot²A + 2tanA.cotA = 25         (tanA × cotA = 1)

tan²A  + cot²A + 2 = 25

tan²A  + cot²A = 23

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