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# Post_1330_section4o1_mon - Section 4.1 Special Triangles...

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Section 4.1 – Special Right Triangles and Trigonometric Ratios 1 Section 4.1 Special Triangles and Trigonometric Ratios In this section, we’ll work with some special triangles before moving on to defining the six trigonometric functions. Two special triangles ° - ° - ° 90 60 30 and ° - ° - ° 90 45 45 triangles. With additional information, you should be able to find the lengths of all sides of one of these special triangles. Important Triangles 30-60-90 triangles o 60 2 x x o 30 x 3 Example 1: Find x . 30 ° 4 2 x

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Section 4.1 – Special Right Triangles and Trigonometric Ratios 2 45-45-90 triangles o 45 x 2 x o 45 x Example 2: Find x . 45 ° x 12
Section 4.1 – Special Right Triangles and Trigonometric Ratios 3 The Six Trigonometric Ratios of an Angle The word trigonometry comes from two Greek roots, trignon, meaning “having three sides,” and meter, meaning “measure.” We have already defined the six basic trigonometric functions in terms of a right triangle and the measure of three sides. A trigonometric function is a ratio of the lengths of the sides of a triangle.

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Post_1330_section4o1_mon - Section 4.1 Special Triangles...

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