carlibarley carlibarley

24-05-2017
Mathematics

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If tan x° = z divided by 10 and cos x° = 10 divided by y , what is the value of sin x°?

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LammettHash LammettHash

30-05-2017

[tex]\tan x=\dfrac{\sin x}{\cos x}=\dfrac z{10}[/tex]

[tex]\cos x=\dfrac{10}y[/tex]
[tex]\implies\tan x=\dfrac{\sin x}{\frac{10}y}=\dfrac{y\sin x}{10}=\dfrac z{10}[/tex]
[tex]\implies\sin x=\dfrac zy[/tex]

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