
Begin this introductory trig course in algebra 2 by exploring sine, cosine, tangent, cotangent, special right triangles, and angles of depression and elevation, with videos, notes, and practice quizzes.
Introduction to trigonometry explains right-triangle relationships using sine, cosine, and tangent (soh cah toa), defines opposite, adjacent, and hypotenuse, and applies the pythagorean theorem and rationalizing fractions.
Derive sine, cosine, and tangent values for 30, 45, and 60 degrees using 45-45-90 and 30-60-90 triangles, with or without calculators.
Learn the remaining three trig functions—secant, cosecant, and cotangent—and see how they relate to sine, cosine, and tangent, including using the Pythagorean theorem to find missing sides.
Apply sine, cosine, and tangent to solve for unknown sides and angles in right triangles, using opposite, adjacent, and hypotenuse relationships.
Explore angles of elevation and depression through real-world word problems, using tangent and sine with right triangles, alternate interior angles, and drawing diagrams to solve shadow lengths, heights, and distances.
Access the PBF answer keys for all video quizzes and worksheets found here, including every quiz key and corresponding worksheet solution.
This unit is the first in a High School Algebra 2 curriculum. It teaches basic trigonometric concepts so that they can be applied to algebra 2 concepts later on. It can be taken by traditional high school students as well as High School Equivalency (HSE) students who are learning about geometric topics for their equivalency exams (GED, TASC, and/or HiSET).Topics include:
(1) Introduction to Trigonometry
(2) Special Right Triangles in Trigonometry
(3) The Other Three Trig Functions
(4) Solving Trig Problems
(5) Angles of Elevation and Depression
Each section has a related video, a video quiz, and a section quiz. The video quiz is to be taken along with or shortly after watching the video. The section quiz is to be taken after. To supplement the course, you can use any textbook.
This course should take approximately five to ten hours to complete.