Trigonometry | measurement of angles, SOH-CAH-TOA, special angles, exact values

Trigonometry is a foundational branch of geometry and algebra that allows us to calculate unknown lengths and angles using specific mathematical ratios. This introductory lesson covers right-angled triangles, the primary trigonometric functions, and how to apply them to solve practical problems. Here is the specific content covered in this lesson: • Naming Sides of a Right-Angled Triangle: Understanding how sides are labeled in reference to a chosen angle: • Hypotenuse: The longest side, directly opposite the right angle (90 degrees). • Opposite: The side directly across from the reference angle. • Adjacent: The side next to the reference angle that is not the hypotenuse. • The Core Trigonometric Ratios (SOH CAH TOA): Defining the three primary ratios used to find missing values: • Sine (sin): Opposite divided by Hypotenuse (SOH) • Cosine (cos): Adjacent divided by Hypotenuse (CAH) • Tangent (tan): Opposite divided by Adjacent (TOA) • Finding Unknown Sides and Angles: Step-by-step calculation techniques. We demonstrate how to rearrange the basic ratios to solve for a missing side length, and how to use inverse trigonometric functions (arcsin, arccos, arctan) to find a missing angle. • Special Angles: A look at the exact values for sine, cosine, and tangent of standard angles (30, 45, and 60 degrees) derived from equilateral and isosceles triangles. #Mathematics #Trigonometry #SohCahToa #Geometry #Angles #HighSchoolMath #STEM