Trig Ratios and Cofunction Relationships

Trig Ratios SOH-CAH-TOA

SINE Pronounced “sign”

COSINE Pronounced “co-sign”

Pronounced “tan-gent”

Represents an unknown angle Greek Letter q Pronounced “theta” Represents an unknown angle

hypotenuse hypotenuse opposite opposite adjacent adjacent

Finding sin, cos, and tan. Just writing a ratio.

H O A 37 35 12 1. Find the sine, the cosine, and the tangent of theta. Give a fraction. H O 37 35 A 12 Shrink yourself down and stand where the angle is. Identify your hypotenuse, adjacent side, and opposite side.

2. Find the sine, the cosine, and the tangent of theta 24.5 8.2 23.1 A Shrink yourself down and stand where the angle is. Identify your hypotenuse, adjacent side, and opposite side.

Sin-Cosine Cofunction

The Sin-Cosine Cofunction

3. What is sin A? 4. What is Cos C?

5. What is Sin Z? 6. What is Cos X?

7. Sin 28 = ?

8. Cos 10 = ?

9. ABC where B = 90. Cos A = 3/5 What is Sin C?

10. Sin  = Cos 15 What is ?

Draw ABC where BAC = 90 and sin B = 3/5 11. What is the length of AB? 12. What is tan C? 4 4/3

13. Draw stick-man standing where the angle is and mark each given side. Then tell which trig ratio you have. sin H O

Classwork SPW 16.4

Homework Worksheet