Question

Which of the following is a simpler way to write cos/sin tan sec csc cot

Answer 1

This one is really simple
cot

Answer 2

One simple trigonometric identity is:

$Tan x = \frac{Sin x}{ Cos x}$

Also, from basic trigonometric ratios, we know that:

$Tan x = \frac{1}{Cot x}$

Substituting, we can solve and see what Cos/Sin is:

$\frac{1}{Cot x} = \frac{Sin x}{Cos x}$

We can take the reciprocal of both sides:

$Cot x = \frac{Cos x}{Sin x}$

So, the ratio of COT is COS/SIN.

ANSWER: cot