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Trigonometry Test Review for Geometry Students

3.7K views· 101 likes· 26:38· Mar 9, 2025

Prepare for your trigonometry test with this comprehensive review covering 25 questions! Mario's Math Tutoring guides you through essential topics including the Pythagorean Theorem and its converse, special right triangles (30-60-90 and 45-45-90), SOH CAH TOA ratios, inverse trig functions for finding angles, geometric mean theorems (altitude and leg), the Law of Sines, and the Law of Cosines. This review is perfect for geometry-level students looking to solidify their understanding of trigonometry. In this video, you'll discover: 0:00 Introduction to Trigonometry Test Review 0:30 Pythagorean Theorem (a² + b² = c²) 1:00 Example 1: Finding a Missing Leg 2:00 Example 2: Finding a Missing Leg 2:50 Converse of Pythagorean Theorem (Classifying Triangles: Right, Acute, Obtuse) 3:20 Example 3: Classifying a Triangle (Obtuse) 4:30 Special Right Triangles 4:40 45-45-90 Triangle Ratios (x, x, x√2) 5:00 Example 4: Finding Legs & Hypotenuse 5:30 Example 5: Finding Legs from Hypotenuse 6:10 30-60-90 Triangle Ratios (s, s√3, 2s) 6:30 Example 6: Finding Legs & Hypotenuse from Short Leg 7:00 Example 7: Finding Legs from Hypotenuse 7:40 Example 8: Finding Legs & Hypotenuse from Long Leg 8:50 Geometric Mean 9:00 Example 9: Finding the Geometric Mean of Two Numbers 9:50 Example 10: Altitude Geometric Mean Theorem 10:40 Example 11: Leg Geometric Mean Theorem 11:20 Example 12: Leg Geometric Mean Theorem 12:40 SOH CAH TOA (Sine, Cosine, Tangent Ratios) 13:00 Example 13: Finding Sine, Cosine, Tangent for Angles A & B 15:40 Solving for Missing Sides (Using SOH CAH TOA) 16:00 Example 14: Using Tangent (Opposite & Adjacent) 17:00 Example 15: Using Sine (Opposite & Hypotenuse) 17:40 Example 16: Using Cosine (Adjacent & Hypotenuse) 18:30 Solving for Missing Angles (Using Inverse Trig Functions) 18:50 Example 17: Using Inverse Sine (Opposite & Hypotenuse) 19:20 Example 18: Using Inverse Tangent (Opposite & Adjacent) 19:40 Example 19: Using Inverse Cosine (Adjacent & Hypotenuse) 20:20 Trigonometry Word Problems 20:30 Example 20: Angle of Elevation (Ladder Problem) 21:30 Example 21: Angle of Depression (Hawk & Squirrel Problem) 23:20 Law of Sines 23:50 Example 22: Finding a Missing Side 24:40 Example 23: Finding a Missing Angle 25:50 Law of Cosines 26:20 Example 24: Finding a Missing Side (Side-Angle-Side) 27:30 Example 25: Finding a Missing Angle (Side-Side-Side) Good luck on your exam! #TrigonometryReview #Geometry #PythagoreanTheorem #SOHCAHTOA #LawOfSines #LawOfCosines #SpecialRightTriangles #MathTutorial #MathHelp ➡️JOIN the channel as a CHANNEL MEMBER at the "ADDITIONAL VIDEOS" level to get access to my math video courses(Algebra 1, Algebra 2/College Algebra, Geometry, and PreCalculus), midterm & final exam reviews, ACT and SAT prep videos and more! (Over 390+ videos) https://www.youtube.com/channel/UClOR1BiPyOkkIAnv9Cmj4iw/join

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