Question

Use basic identities to simplify the expression:
cot x tan x

Answer 1

Cotangent is equal to 1/tan
So.
\[\huge \cot x *\tan x\]
\[\huge \frac{ 1 }{ \tan x } * \tan x\]
\[\huge \frac{ \tan x }{ \tan x } = 1\]

Answer 2

^

Answer 3

cot x sin x @shamil98

Answer 4

Tan = sin/cos
So:
\[\huge \frac{ 1 }{ \tan x } * \sin x\]
\[\huge \frac{ 1 }{ \frac{ sinx }{ cosx } } * \sin x\]
Dividing fractions you multiply by the reciprocal
\[\huge \frac{ 1 }{ \sin x } * \cos x * \sin x\]
Sin x cancels
\[\huge \frac{ 1 }{ \cancel {\sin x} } * \cos x * \cancel {\sin x} = 1 * \cos x \]
\[\huge cos x\]
is your final answer :)