Study this course to learn how to compute lengths and angles in right and non-right triangles, analyze circular arcs and circles, work with conic sections and polar coordinates, and model periodic phenomena. Lessons feature short illustrated explanations, guided practice, and self-assessment opportunities so learners (students, teachers, professionals, casual learners) can study in any order and check understanding with targeted quizzes.

By the end of the course students will be able to:

• Solve right-triangle problems using sine, cosine, tangent and the Pythagorean theorem.
• Use the unit circle and radian measure to evaluate trig functions and convert degrees↔radians.
• Graph and transform trig functions; analyze symmetry, amplitude, period, phase shift and asymptotes.
• Apply the Laws of Sines and Cosines to solve any triangle (including ambiguous cases).
• Manipulate and prove trig identities; solve trig equations and inequalities.
• Use analytic geometry (coordinates, circles, conics) and polar/parametric representations.
• Build mathematical models (sinusoidal, exponential/logarithmic, rational) and apply trig in real contexts.