Question

proof: (1+tanx) / (1+cotx) = tan x

Answer 1

tan x = sin/cos

cot = cos/sin

does that help?

Answer 2

\[\frac{1+\tan x}{1+\frac{1}{\tan x}}=\frac{\tan x+\tan ^2x}{\tan x+1}=\frac{\tan x(1+\tan x)}{\tan x+1}=\tan x\]

Answer 3

1+tanx/1+cotx=tanx:
multiply the denominator by both sides:
1+tanx=tanx(1)+tanx(cotx)
tanx(1)=tanx and tanx(cotx) equals one so it turns out to be:
tanx +1=tanx + 1
thats it:)

Answer 4

@xXDWEAHXx87 Can't work across the equal sign when proving an identity. The normal rules of equations do not apply.

Answer 5

o sry

Answer 6

no problem

Answer 7

but it still works though

Answer 8

yep

Answer 9

It works to cheat at poker too

Answer 10

but ur way is correct and more awesome looking so good job