Date: 10.4(b) Notes: Trig. Ratios - SOH-CAH-TOA Lesson Objective: Find the trigonometric ratios of an acute angle. CCSS: G.SRT.8 You will need: scientific calculator Real-World App: Today we are discovering the trig. ratios. Tomorrow we will apply them.

Lesson 1: Trig. Ratios - SOH-CAH-TOA Yesterday, we learned the following: AB is adjacent / A. A BC is opposite / A. AC is the hypotenuse. Why do we need these for? B C Enter SOH-CAH-TOA

Lesson 1: Trig. Ratios - SOH-CAH-TOA “SOH” – sine:

Lesson 1: Trig. Ratios - SOH-CAH-TOA “CAH” – cosine:

Lesson 1: Trig. Ratios - SOH-CAH-TOA “TOA” – tangent:

Lesson 2: Finding Trig. Ratios Write each trigonometric ratio as a fraction and as a decimal rounded to the nearest hundredth. A.sin JB.cos J C.tan JD.sin K E.cos KF.tan K J 3 5 L 4 K

Lesson 2: Finding Trig. Ratios Write each trigonometric ratio as a fraction and as a decimal rounded to the nearest hundredth. A.sin JB.cos J C.tan JD.sin K E.cos KF.tan K J 6 10 L 8 K

Lesson 4: Finding Trig. Ratios in Special Right Triangles Use a special right triangle to write the following ratio as a fraction. A.sin 30° B.cos 30° C.tan 30° D.sin 60° E.cos 60° F.tan 60°

Lesson 5: Finding Trig. Ratios in Special Right Triangles Use a special right triangle to write the following ratio as a fraction. A.sin 45° B.cos 45° C.tan 45° s s

Lesson 6: Calculating Trig. Ratios Use the Trigonometric Ratio Table to find each ratio. Then check the an­swer in your calculator. A.sin 52° B.cos 19° C.tan 65°