The value of tangent ratio [tex]tan \beta[/tex] in the triangle is [tex]\frac{3}{4}[/tex].
What is trigonometric ratio?
Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. The ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric ratios of that particular angle.
Review all six trigonometric ratios: sine, cosine, tangent, cotangent, secant, & cosecant.
Tangent ratio
Tangent ratio is yet another trigonometric ratio for right-angled triangles. Tangent ratio is the ratio of opposite side to adjacent side of a right triangle.
According to the triangle ABC
<C = [tex]90^{0}[/tex], <B = [tex]\beta[/tex], AB = 5, BC = 4, AC = 3
Tangent ratio is the ratio of opposite side to adjacent side of a right triangle.
Tangent ratio is one of the trigonometric ratios.
[tex]tan \beta=\frac{AC}{BC} = \frac{3}{4}[/tex]
Hence,
The value of [tex]tan \beta[/tex] in the triangle is [tex]\frac{3}{4}[/tex].
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