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Find tan(B) in the triangle.


Find TanB In The Triangle class=

Sagot :

Answer:

3/4

Step-by-step explanation:

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].

Find out more information about tangent ratio here

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