Unit 7: Right Triangle Trigonometry Hypotenuse Adjacent Leg Opposite Leg “SOH” – “CAH” – “TOA” Standard Trig Functions Reciprocal Trig Functions SOH: CAH: TOA:

Finding Exact Trig Values #1: 30°- 60° - 90° 2

Finding Exact Trig Values #2: 45° - 45° - 90° 1 45° 2

Example 1: Find Trigonometric Values 5 3 4

Example 1: Continued 7 [C] [B] 13 24 25 5 12

Example 2 : Use one Trig Ratio to find others If , find [B] If , find

Example 2 : continued [C] If , find [D] If , find

Example 3: Find missing exact sides of Right Triangles Calculator Free – Determine appropriate trig function to use [A] 8 30° x [B] 60° x 12

Example 3: Continued [C] [D] 45° 45° 10 12 x x

Example 4 Solve a Triangle (Find all lengths and angles) [A] Solve triangle ABC. Round lengths to the nearest tenth. Angles A = B = C = Sides a = b = c = C 35° 10 A B

Example 5: Solve a Triangle with Missing Angle Solve triangle ABC. Round lengths to the nearest tenth. Angles A = B = C = Sides a = b = c = 5 A B C 12

Example 6 Angle of Elevation and Depression Line of Sight Line of Sight