1. Warm- up What do you remember about right triangles?

2. Trigonometry Basic Right Triangles

3. Three basic trigonometric functions Sine Cosine Tangent

4. Trigonometric functions describe relationships between the angles of a right triangle and its sides.

5. Some quick notes you need to know: We only use these trig functions on right triangles We only use the acute angles in the right triangles is a Greek letter called theta (thay-ta) it is used a lot in trig to stand for an angle. its just like a variable like x. You must round all answers in this unit to the nearest tenth.

6. Some quick notes you need to know: Always draw a diagram if its not provided. (yes this is required) We measure our angles in degrees so your calculator must be in degree mode. (calc steps: press “mode” scroll down to “radian” and over to “degree” and press “enter” so that the word degree is high lighted, then “clear” to exit)

7. Right Triangles Hypotenuse Adjacent Leg Opposite Leg

8. SOH CAH TOA!!!!!!! SOME OLD HIPPIE CAUGHT ANOTHER HIPPIE TRIPPING ON ACID

9. SOME OLD HIPPIE…

10. CAUGHT ANOTHER HIPPIE…

11. TRIPPING ON ACID…

12. Find the value of x in each triangle *We are looking for sides so sin, cos, tan* x 38° 20 Hypotenuse Opposite Adjacent

13. Find the value of x in each triangle *We are looking for sides so sin, cos, tan* 51° 15 x hypotenuse opposite adjacent

14. Find the value of x in each triangle *We are looking for sides so sin, cos, tan* 19 28° x hypotenuse opposite adjacent

15. Find the value of in each triangle *We are looking for angles so sin -1, cos -1, tan -1 * hypotenuse opposite adjacent 17 25

16. Find the value of in each triangle *We are looking for angles so sin -1, cos -1, tan -1 * hypotenuse opposite adjacent 18 12

17. Find the value of in each triangle *We are looking for angles so sin -1, cos -1, tan -1 * hypotenuse opposite adjacent 29 15