Respuesta :

sin x = tan x times cos x

0.76 * 0.22 = 0.167


round the answer as needed ( you don't say how it needs to be rounded)

Answer:

The value of [tex]\sin x=0.1672[/tex]

Step-by-step explanation:

Given : If [tex]\tan x = 0.76[/tex] and [tex]\cos x = 0.22[/tex]

To find : What is [tex]\sin x[/tex]?

Solution :

We know that,

[tex]\tan x=\frac{\sin x}{\cos x}[/tex]

or we can re-write as,

[tex]\sin x=\tan x\times\cos x[/tex]

Substitute the value of  [tex]\tan x = 0.76[/tex] and [tex]\cos x = 0.22[/tex]

[tex]\sin x=0.76\times0.22[/tex]

[tex]\sin x=0.1672[/tex]

Therefore, The value of [tex]\sin x=0.1672[/tex]

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