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5.2 Trigonometric Ratios in Right Triangles. A triangle in which one angle is a right angle is called a right triangle. The side opposite the right angle.

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Presentation on theme: "5.2 Trigonometric Ratios in Right Triangles. A triangle in which one angle is a right angle is called a right triangle. The side opposite the right angle."— Presentation transcript:

1 5.2 Trigonometric Ratios in Right Triangles

2 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

3 Initial side Terminal side

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

5

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

7

8 Reciprocal Identities

9 FIND THE VALUE OF THE RECIPROCAL FUNCTION: 1.sin s = 3/5 2.cos s = 4/5 3. cot s = - ½ FIND ALL REMAINING TRIG FUNCTIONS IF sin s = 3/5 FIND ALL 6 TRIG FUNCTION VALUES IF s = 3  4

10 Let’s go over those special right Triangles:

11  Sin  Cos  Tan  0  6 Or 30 degrees  4 Or 45 degrees  3 Or 60 degrees


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