Question

What are trigonometry ratios of an acute angle in a right triangle

Answer 1

Answer:

Trigonometric functions of an acute angle are ratios of different pairs of sides of a right-angled triangle ( Fig. 2 ). 1) Sine: sin A = a / c ( a ratio of an opposite leg o a hypotenuse ) . 2) Cosine: cos A = b / c ( a ratio of an adjacent leg to a hypotenuse ) .

Step-by-step explanation:

Answer 2

Concept

Trigonometric functions are real functions in mathematics that link the angle of a right-angled triangle to the ratios of two side lengths. They're widely employed in all geosciences, including navigation, solid mechanics, celestial mechanics, geodesy, and many more.

Given

An acute angle in a right triangle

Find

We are asked to determine what are trigonometry ratios of an acute angle in a right triangle

Solution

Trigonometric ratios of an acute angle in a right triangle we can find by using the following formulas

$Sin\alpha =\frac{Perpendicular}{Hypotenuse}$

$Cos\alpha =\frac{Base}{Hypotenuse}$

$tan\alpha =\frac{Perpendicular}{Base}$

Where $\alpha$ is an acute angle