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A right triangle has side lengths 3, 4, and 5 as shown below.Use these lengths to find tan B, cos B, and sin B.

A Right Triangle Has Side Lengths 3 4 And 5 As Shown BelowUse These Lengths To Find Tan B Cos B And Sin B class=

Sagot :

We want to find the trigonometrical ratios of the angle B.

1.

[tex]\begin{gathered} \tan B=\frac{\text{opposite}}{\text{adjacent}} \\ =\frac{4}{3} \end{gathered}[/tex]

2.

[tex]\begin{gathered} \cos B=\frac{\text{adjacent}}{\text{hypotenuse}} \\ \cos B=\frac{3}{5} \end{gathered}[/tex]

3.

[tex]\begin{gathered} \sin B=\frac{\text{opposite}}{\text{hypotenuse}} \\ \sin B=\frac{4}{5} \end{gathered}[/tex]

Therefore, we find out that;

[tex]\tan B=\frac{4}{3},\cos B=\frac{3}{5},\sin B=\frac{4}{5}[/tex]