Definitions in Terms of Basic Trigonometric Functions

Apply Simplify to the tangent, cotangent, secant, and cosecant to find their definition in terms of the sine and cosine functions.

$\blacktriangleright$ Simplify

tan x =  ${\dfrac{{\sin x}}{{\cos x}}}$

cot x =   ${\dfrac{{\cos x}}{{\sin x}}}$

sec x =  ${\dfrac{{1}}{{\cos x}}}$

csc x =  ${\dfrac{{1}}{{\sin x}}}$