7-1: Special Right Triangles and Trigonometric Ratios

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Presentation transcript:

7-1: Special Right Triangles and Trigonometric Ratios Unit 7 English Casbarro

Turn in the following problems. In the parking lot shown, the lines that mark the width of the spaces are parallel. Find x and y. 2. A piece of property lies between 2 parallel streets as shown in the picture. What is the relationship between the angles? What are their measures?

Recall: The Pythagorean Theorem Recall: The Pythagorean Theorem. This allows you to find legs and the hypotenuse of a right triangle. There are 2 types of triangles that allow you to use shortcuts to find out the lengths of their sides. These are the 45°-45°-90° and 30°-60°-90°

Problem 3- Solve the triangles for the unknown sides.

Trigonometric Ratios Most of the time the angles are not the special triangles we have seen. There are other ways to find the lengths of the sides of the triangles.

Trig Ratios are always listed sin cos tan in that order! You can also remember the word: SOH-CAH-TOA

This is the basic problem that just tests your knowledge of writing the ratios. You must know which is the opposite side, which is the adjacent side (these Switch depending on the angle that you are talking about), and the hypotenuse.

Check your knowledge