Review the fundamentals of right triangle trigonometry in this comprehensive 41-minute video. Begin with a refresher on the Pythagorean theorem and learn to identify triangle components. Master the definitions of sine, cosine, and tangent using the SOHCAHTOA mnemonic. Explore common triple families and special right triangles, including 30-60-90 and 45-45-90 triangles. Practice finding missing sides and angles using trigonometric ratios and discover real-world applications of special right triangles. Delve into complementary angles, inverse trigonometric functions, and calculator usage for angle calculations. Conclude with an introduction to reciprocal functions such as secant, cosecant, and cotangent. Benefit from a well-structured review that covers all essential aspects of right triangle trigonometry, complete with practical examples and problem-solving techniques.
Overview
Syllabus
Introduction to Right Triangle Trigonometry
Review Pythagorean theorem
Identify the short leg,long leg, and hypotenuse
Define sine,cosine,tangent aka SOHCAHTOA
Review the most common triple families
Review Special right triangles-30 60 90 and 45-45-90
Finding missing sides and angles with 45-45-90 triangles and 30-60-90 triangles
Where do you see special right triangles?
Trigonometeric Ratios
Working a problem with sin
Working a problem with cosine
Tangent probem
Sine and Cosine Complementary Angles
Using a calculator and inverse trigonometric ratios to find the unknown angles
Using trig to find missing sides and angles
Introduce secant,cosecant,cotangent, which are reciprocal functions.
Summary of Trig Review
Taught by
MooMooMath and Science
