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7-6 Sine and Cosine of Trigonometry

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Presentation on theme: "7-6 Sine and Cosine of Trigonometry"— Presentation transcript:

1 7-6 Sine and Cosine of Trigonometry

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

4 hypotenuse opposite adjacent c b a

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

6

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

8 c 4 b

9 Two acute angles are complementary if their sum is a right angle.
and are complimentary angles c b a

10 h 25 h = 23.49


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