Trigonometric Functions and Equations Problem Solving Tutorial

In this math tutorial, learn about the unit circle definition of cosine, sine, and tangent and how they are used to solve problems about sinusoidal functions. Amplitude, period, vertical shift, and phase shift are important. Infinite Powers, How Calculus Reveals the Secrets of the Universe: https://amzn.to/37PBMjb.

🔴 Calculus 1, Lesson 1.1: Linear Functions (3Blue1Brown SoME2): https://www.youtube.com/watch?v=lmCjnxzIals

🔴 Calculus 1, Lesson 1.2: Exponential Functions: https://www.youtube.com/watch?v=47ZqW19AjD4

🔴 Calculus 1, Lesson 1.3: Quadratic Functions, Transformations of Functions, and Function Composition: https://www.youtube.com/watch?v=1T58CnSME4g

🔴 Calculus 1, Lesson 1.4: Logarithmic Functions (Intro to Horizontal Compressions & Inverse Functions): https://www.youtube.com/watch?v=oS-gvIoJf60

🔴 Calculus 1, Lesson 1.5: Trigonometric Functions and Inverse Trigonometric Functions: https://www.youtube.com/watch?v=UFYjlnGUenE

🔴 AP Calculus AB Exam Review: Practice Exam Problems & Solutions (Multiple Choice, No Calculator): https://www.youtube.com/watch?v=2AG_Dt3x7q0

🔴 AP Calculus AB Exam Review: Free Response Practice Exam Problems & Solutions: https://www.youtube.com/watch?v=RLgUwP44V_M

🔴 AP Calculus BC Exam Review: Practice Exam (30 Question Multiple Choice, No Calculator): https://www.youtube.com/watch?v=1Q7ALcwT97A

🔴 AP Calculus BC Exam Review: Free Response Practice Exam Problems & Solutions: https://www.youtube.com/watch?v=ZWisJEDP44w

🔴 Calculus 1 Exam 1 Review Problems and Solutions (Precalculus, Limits, Continuity, Derivatives): https://www.youtube.com/watch?v=UjmvUwvd7c4

🔴 Calculus 1 Course, Lecture 1: The Big Ideas (Rates & Areas, the Infinity Principle & Circular Area): https://www.youtube.com/watch?v=2V_ehJC5QUY

🔴 Calculus 1 Course Lecture Playlist: https://www.youtube.com/playlist?list=PLmU0FIlJY-MkFrKtM0S0NLu-TxZa5jBIx

#trigonometry #trigonometricfunctions #trigonometric

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(0:00) Draw θ=5π/3. Find cos(θ), sin(θ), tan(θ)
(4:38) Assume t ε (π/2,π) and sin(t)=1/3. Find cos(t) and tan(t) (need Pythagorean identity).
(11:58) Find amplitude, period, vertical shift, and horizontal shift (related to phase angle) of a sinusoidal function.
(18:26) Graph the sinusoidal function
(21:32) Solve a trigonometric equation (set a sinusoid equal to a constant)
(26:53) Find a possible formula for a sinusoidal wave
(31:00) Application to ocean tides (of sinusoidal functions)
(38:28) Find exact solutions of sin(2x)=cos(x) in the interval from 0 to 2π. Use a double-angle formula for sine.

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