Trigonometry Test Review for PreCalculus Students (25 Questions)

Get ready for your Precalculus Trigonometry test with this comprehensive review! We'll tackle 25 challenging questions covering all the essential topics you'll encounter on your exam, including the unit circle, right triangle trigonometry, inverse trig functions, graphing transformations, and more. This video is designed to help you solidify your understanding of key trigonometric concepts and practice problem-solving without a calculator. Pause the video, try the problems on your own, and then follow along with the detailed explanations to master your trig skills! In this video, you'll learn: Finding angles in radians and degrees from a point on the terminal side. Evaluating trigonometric functions using the unit circle (all 6 functions). Solving right triangles using SOH CAH TOA. Solving trigonometry word problems (angles of elevation). Stating the domain and range of transformed sine and cosine functions. Writing equations for sine and cosine functions from given information. Converting between radians and degrees. Finding inverse trigonometric function values. Graphing transformed sine, cosine, tangent, cotangent, cosecant, and secant functions. Finding equations of asymptotes for reciprocal trig functions. Graphing inverse sine functions. Finding all six trig functions given one function and a quadrant restriction. Finding co-terminal angles (positive and negative). Timestamps: 0:00 Introduction to Precalculus Trigonometry Test Review (25 Questions) 0:40 Question 1: Finding an Angle from a Point (Radians & Degrees) 2:40 Questions 2-4: Evaluating Trig Functions without a Calculator (Unit Circle) 2:50 Question 2: Cosecant of 11π/6 4:00 Question 3: Cosine of 2π/3 5:00 Question 4: Tangent of 7π/4 6:00 Questions 5-7: Right Triangle Trigonometry & Story Problems 6:20 Question 5: Finding All Six Trig Functions from a Right Triangle 8:00 Question 6: Solving a Right Triangle (Finding Missing Angles & Sides) 10:10 Question 7: Angle of Elevation Word Problem (Kite Height) 11:30 Questions 8-10: Graphing Transformations & Writing Equations 11:40 Question 8: Domain & Range of Transformed Sine Function 14:50 Question 9: Writing an Equation for a Sine Function 16:20 Question 10: Evaluating All Six Trig Functions from a Point 18:00 Questions 11-13: Inverse Trig Functions 18:20 Question 11: Solving cos(x) = -1/2 19:20 Question 12: sin⁻¹(-√2/2) 20:20 Question 13: tan⁻¹(-√3) 21:20 Questions 14-15: Graphing Sine and Cosine with Transformations 21:30 Question 14: Graphing y = sin(x - π/2) + 2 22:40 Question 15: Graphing y = 2cos(1/2 x) 23:50 Questions 16-19: Graphing Tangent, Cotangent, Cosecant, Secant 24:10 Question 16: Graphing y = -2cot(x) 25:20 Question 18: Graphing y = 3tan(1/2 x) 26:10 Question 17: Graphing y = csc(x) - 2 27:30 Question 19: Graphing y = -2sec(π/2 x) - 1 29:00 Questions 20-23: Writing Equations, Conversions, Arc Length, Asymptotes 29:10 Question 20: Writing a Cosine Function from Max/Min Points 31:40 Question 21: Converting Radians to Degrees 32:20 Question 22: Finding a Central Angle in Radians (Arc Length Formula) 33:20 Question 23: Finding an Asymptote Equation for a Secant Graph 34:50 Questions 24-26: Inverse Graphs, Trig Identities, Co-terminal Angles 35:00 Question 24: Graphing y = sin⁻¹(x) 36:50 Question 25: Finding sin(θ) given sec(θ) and cot(θ) less than 0 38:00 Bonus Question 26: Finding Co-terminal Angles 39:10 Conclusion & More Trig Resources Good luck with your Precalculus Trig test! If you found this review helpful, please give it a thumbs up and subscribe to Mario's Math Tutoring for more precalculus and trigonometry lessons! #Precalculus #Trigonometry #TestReview #UnitCircle #RightTriangles #GraphingTrigFunctions #InverseTrig #TrigIdentities #MathTutorial #MathHelp #mariomathtutoring ➡️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