nunyo1 nunyo1
  • 06-03-2018
  • Mathematics
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If tan x=a/4 and cos x=4/b what is the value of sin x?

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Catya
Catya Catya
  • 06-03-2018
[tex]cos(x) = \frac{4}{b} \\ \\ tan(x) = \frac{sin(x)}{cos(x)} = \frac{a}{4} \\ \\ substitute... \frac{4}{b} ...for ...cos(x) \\ \\ \frac{sin(x)}{ \frac{4}{b} } = \frac{b*sin(x)}{4} = \frac{a}{4} \\ \\ b*sin(x) = a \\ \\ sin(x) = \frac{a}{b} [/tex]
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