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Master fundamental trigonometric concepts through this comprehensive 5-hour 28-minute course covering essential topics from basic vocabulary to advanced applications. Learn to work with trigonometric functions including sine, cosine, and tangent, exploring their relationships through angle addition and subtraction formulas. Discover how to find trigonometric values using points and coordinate geometry, calculate complements and supplements of angles, and identify coterminal angles. Explore trigonometric identities including negative angle, cofunction, and even-odd identities, while developing skills to prove and verify these relationships. Study the graphical representations of trigonometric functions, including transformations of sine, cosine, tangent, and cotangent, and learn to read and interpret these transformations from graphs. Apply trigonometry to real-world scenarios involving linear and angular speed calculations and gear mechanisms. Convert between radians and degrees using both manual methods and calculator techniques, calculate arc lengths and sector areas for circles, and solve right triangle problems using special triangles and trigonometric ratios. Advance to complex number applications using DeMoivre's theorem to find roots, understand the signs of trigonometric functions in different quadrants, and utilize rotation concepts in trigonometric problem-solving.
