Question

10 square theta + cot square theta is equals to 2​

Answer 1

So. tan A + cot A = 2

=>. tan A + (1/tanA) = 2

=>. (tan^2 A + 1)/tan A = 2

=>. tan^2 A + 1= 2tan A

=>. tan^2 A - 2tan A + 1 = 0

=> (tan A - 1)^2 = 0

=>. tanA-1=0 =>. tan A = 1

So tan^2 A + cot ^2 A= 1+1= 2