13.1 Right Triangle Trigonometry. Trigonometry: The study of the properties of triangles and trigonometric functions and their applications. Trigonometric.

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Presentation transcript:

13.1 Right Triangle Trigonometry

Trigonometry: The study of the properties of triangles and trigonometric functions and their applications. Trigonometric ratio: A ratio of the measures of two sides of a right triangle is called a trigonometric ratio.

The six ratios of a right triangle are called trigonometric functions of acute angles and are defined as follows: Function nameAbbreviationValue

A triangle in which one angle is a right angle is called a right triangle. The side opposite the right angle is called the hypotenuse, and the remaining two sides are called the legs of the triangle. c b a

oppositeadjacent hypotenuse b c a

oppositeadjacent hypotenuse b c a

Find the value of each of the six trigonometric functions of the angle Adjacent c = Hypotenuse = 13 b = Opposite = 12

a b c To solve a right triangle means to find the missing lengths of its sides and the measurements of its angles.

b 4 c

25h h = 23.49