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Right Triangle Trigonometry: SOH-CAH-TOA, Hypotenuse, Opposite Leg, Standard Trig Functions

Learn about right triangle trigonometry, including the SOH-CAH-TOA ratios, finding exact trig values, using trig ratios to find others, solving triangles, and determining angles of elevation and depression.

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Right Triangle Trigonometry: SOH-CAH-TOA, Hypotenuse, Opposite Leg, Standard Trig Functions

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

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

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

  4. Example 1: Find Trigonometric Values [A] 5 3 4

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

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

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

  8. 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

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

  10. 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

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

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

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