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  • 03-11-2022
  • Mathematics
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HarmoniiN654403 HarmoniiN654403
  • 03-11-2022

The Tangent Ratio

In a right triangle, the tangent of one of the acute angles is defined as:

[tex]\tan B=\frac{\text{opposite side}}{adjacent\text{ side}}[/tex]

The figure shows a triangle whose angle B has the side of 8 ft as its opposite side, and the side of 15 ft as its adjacent side, thus:

[tex]\begin{gathered} \tan B=\frac{8ft}{15ft} \\ \tan B=\frac{8}{15} \end{gathered}[/tex]

It can also be expressed as 8 to 15.

The definition of the tangent of an angle B is:

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

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