Solve Using Complex Numbers?!!!! Solving Sin(π/14)Sin(3π/14)Sin(5π/14) with Roots of Unity 

In this episode of the "Mastering Complex Numbers" series, we tackle the problem of finding the value of sin(π/14)sin(3π/14)sin(5π/14) using the product-to-sum trigonometric formula and the intriguing properties of the 7th roots of unity.
High school students preparing for AMC10/12 or AIME exams will learn how to apply these advanced concepts to solve challenging problems. Discover how the sum of the 7th roots of unity equals zero, and how the sum of the real parts of the first three roots is -1/2, leading us to an elegant solution. Don't miss this deep dive into trigonometry and complex numbers!
#MasteringComplexNumbers #AMCPrep #AIMEPrep #HighSchoolMath #Trigonometry #ComplexNumbers #RootsOfUnity #MathTutorial #MathProblems #SinProduct #MathForTeens #STEMEducation

Наука