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Unit 7: Right Triangle Trigonometry “SOH” – “CAH” – “TOA” Adjacent Leg Standard Trig Functions Reciprocal Trig Functions SOH: csc CAH: sec TOA: cot Finding Exact Trig Values #1: 30°- 60° - 90° 60° 2 1 30° 3 sin 30 sin 60 cos 30 cos 60 tan 30 tan 60 Finding Exact Trig Values #2: 45° - 45° - 90° 1 45° 2 2 45° 2 45° 45° 1 2 sin 45 cos 45 tan 45 Example 1: Find Trigonometric Values [A] 5 3 4 sin csc cos sec tan cot Example 1: Continued [B] [C] 13 sin 25 5 12 csc cos sec tan cot 7 24 sin csc cos sec tan cot Example 2 : Use one Trig Ratio to find others 2 [A] If cos , find 5 sin ? cot ? [B] If tan 5 , find 3 csc ? cos ? Example 2 : continued 6 [C] If sin , find 7 cos ? csc ? 3 [D] If cot , find 4 sec ? sin ? 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] x 45° 12 45° 10 x Example 4 Solve a Triangle (Find all lengths and angles) [A] Solve triangle ABC. Round lengths to the nearest tenth. C 35° 10 A B Angles Sides A= a= B= b= C= c= Example 5: Solve a Triangle with Missing Angle Solve triangle ABC. Round lengths to the nearest tenth. C 5 A 12 B Angles Sides A= a= B= b= C= c= Example 6 Angle of Elevation and Depression Line of Sight Angle of Depression Angle of Elevation Line of Sight