18. Simplify: frac{2 tan x}{1+tan ^{2} x}

Question

Accepted Answer

Step:1 ：Given expression: (frac{2 tan x}{1+tan ^{2} x})Step:2 ：Use the identity: (tan^2 x + 1 = sec^2 x)Step:3 ：Replace (tan^2 x) with (sec^2 x - 1): (frac{2 tan x}{sec^2 x - 1 + 1})Step:4 ：Simplify the expression: (frac{2 tan x}{sec^2 x})Step:5 ：(boxed{frac{2 tan x}{sec^2 x}})

Answer

Step: 1 ：Given expression: (frac{2 tan x}{1+tan ^{2} x})Step: 2 ：Use the identity: (tan^2 x + 1 = sec^2 x)Step: 3 ：Replace (tan^2 x) with (sec^2 x - 1): (frac{2 tan x}{sec^2 x - 1 + 1})Step: 4 ：Simplify the expression: (frac{2 tan x}{sec^2 x})Step: 5 ：(boxed{frac{2 tan x}{sec^2 x}})

18. Simplify: $\frac{2 \tan x}{1 + \tan^{2} x}$

Answer

Popular Problems

18. Simplify: 2tan⁡x1+tan2⁡x

Answer

Popular Problems

18. Simplify: $\frac{2 \tan x}{1 + \tan^{2} x}$