The ratios are: sin B = 4/5 , cos B = 3/5 and tan B = 4/3
Step-by-step explanation:
We can see in the diagram that the values of all sides are given. In case of trigonometric ratios, the side in front of angle under consideration is perpendicular and the side adjacent to angle is base.
In the given case, we have to find trigonometric ratios for angle B; So,
Base = a = 3
Perpendicular = b = 4
Hypotenuse = c = 5
Hence,
The ratios will be:
[tex]sin\ B = \frac{perpendicular}{hypotenuse} = \frac{b}{c} =\frac{4}{5}\\cos\ B = \frac{base}{hypotenuse} = \frac{a}{c} =\frac{3}{5}\\tan\ B = \frac{perpendicular}{base} = \frac{b}{a} = \frac{4}{3}[/tex]
The ratios are: sin B = 4/5 , cos B = 3/5 and tan B = 4/3
Keywords: Ratios, triangle
Learn more about trigonometric ratios at:
- brainly.com/question/10703930
- brainly.com/question/10772025
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