SOLUTION: i have to prove this identity: 1/ tanx + tanx = sec^2x/tanx i do have an idea on what to do but i get stuck every time this is what i did 1/ tanx + tanx = sec^2x/tanx cot x

Question 1057127: i have to prove this identity: 1/ tanx + tanx = sec^2x/tanx
i do have an idea on what to do but i get stuck every time
this is what i did
1/ tanx + tanx = sec^2x/tanx
cot x + 1/ cot x =

Found 2 solutions by solve_for_x, Alan3354:
Answer by solve_for_x(190) (Show Source): You can put this solution on YOUR website!
Starting with the left side, combine 1/tan x and tan x into a single fraction.

You can do this by multiplying tax by (tan x / tan x):

Then, from , you can get
by dividing through by

Substituting in place of gives:

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
1/ tanx + tanx = sec^2x/tanx
Multiply by tangent
1 + tan^2 = sec^2
QED
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