The document discusses trigonometric functions and right triangles. It defines the six trigonometric functions as ratios between pairs of sides in a right triangle. The first three functions are sine, cosine, and tangent, which relate the opposite, adjacent, and hypotenuse sides to a given angle. The other three are the reciprocals of the first three and complete the set of basic trigonometric functions.

1. TRIGONOMETRIC FUNCTIONS

2. Right Triangles

3. A right triangle has one right angle, two legs, and one hypotenuse. The hypostenuse is the longest side of the right triangle and is across from the right angle. leg leg hypotenuse right angle

4. The Pythagorean Theorem is true for any right triangle. The hypotenuse is always c! b a c right angle C A B

5. Six trigonometric functions: ratios between pairs of sides in a right triangle First, identify the angle which you are using for reference. Let’s use  . adjacent  hypotenuse opposite

6. First Three Trigonometric Functions Tommy’s old aunt sat on her chair and hollered. Yaaaaaaaagh!

7. Do you see how the first letter of each word in my sentence corresponds to the t o a s o h c a h of the trigonometric functions? adjacent  hypotenuse opposite

9. tree park ranger 40  30 feet

10. What about the other three trigonometric functions? Each of the other three trigonometric is the reciprocal of one of the “main” three trigonometric functions.

11. Homework