girlkyzobodarade girlkyzobodarade
  • 07-05-2017
  • Mathematics
contestada

Which of the following is a simpler way to write cos/sin

tan
sec
csc
cot

Respuesta :

TuanPham
TuanPham TuanPham
  • 07-05-2017
This one is really simple
cot
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TaeKwonDoIsDead
TaeKwonDoIsDead TaeKwonDoIsDead
  • 24-11-2018

One simple trigonometric identity is:

[tex]Tan x = \frac{Sin x}{ Cos x}[/tex]

Also, from basic trigonometric ratios, we know that:

[tex]Tan x = \frac{1}{Cot x}[/tex]

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

[tex]\frac{1}{Cot x} = \frac{Sin x}{Cos x}[/tex]

We can take the reciprocal of both sides:

[tex]Cot x = \frac{Cos x}{Sin x}[/tex]

So, the ratio of COT is COS/SIN.


ANSWER: cot


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