In this video, part of our "Mastering Complex Numbers" series, we dive into solving the trigonometric product
sin(π/14)sin(3π/14)sin(5π/14)
using the power of complex numbers and Euler's formula. Perfect for high school students preparing for AMC10/12 or AIME exams, we'll break down the steps to find the value of this expression. By understanding that sin(θ) can be expressed as (e^(iθ) - e^(-iθ)) / 2i, we uncover the elegant solution hidden within the world of complex numbers.
Stay tuned for upcoming videos where we'll explore different methods to solve this problem!
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26 май 2024