Question

if tan A+cot A =2 ,then find the value of tansquare A+cotsqareA​

Answer 1

Answer:

tan²(A) + cot²(A) = 2

Step-by-step explanation:

It is given that

tan (A) + cot (A) = 2

Squaring on both sides, we get

tan²(A) + cot²(A) + 2 tan (A) . cot (A) = 4

But tan (A) . cot (A) = 1

So, tan²(A) + cot²(A) + 2 = 4

⇒ tan²(A) + cot²(A) = 2

Answer 2

Answer:

Tan a+ cota=2

Tana+cot a whole square =4

Tan2a+cot2a=4-2=2