Simplification of 2tanx + Tan (π / 2-x) by trigonometric function of higher one How to simplify, the problem is to find the minimum If Tan = t So 2T ^ 2 + 1 / T = if we change the above into binary [2 (T + radical 2 / 2) ^ 2-1] / T It should be the smallest when t = 0, But the denominator is t How to find the minimum?

Simplification of 2tanx + Tan (π / 2-x) by trigonometric function of higher one How to simplify, the problem is to find the minimum If Tan = t So 2T ^ 2 + 1 / T = if we change the above into binary [2 (T + radical 2 / 2) ^ 2-1] / T It should be the smallest when t = 0, But the denominator is t How to find the minimum?

The original formula 2tanx + 1 / TaNx is equivalent to T ^ 2 + K ^ 2 (t-k) ^ 2 + 2 * t * k, because t * k = root (2tanx * 1 / TaNx) = root 2