a mysterious complex formula @drpeyam

Uploaded April 2023 | Updated September 2026, 1 week ago

a mysterious complex equation. Solving cos sin = i by using complex exponentials and the quadratic formula. Euler's identity and imaginary numbers will come into play here as well as the double angle formula sin(2x) = 2 sin(x) cos(x) The solutions will lie on two parallel lines which is really cool. This is a must see for any calculus and complex analysis student! Enjoy this cos(x) sin(x) = i adventure

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the outstanding Laplace method for solving systems of ode

$which logarithm is bigger? The Battle of the Logs. Which is bigger, log base 3 of 5 or log base 5 of 9? The answer may surprise you. We solve this equation by taking the difference, putting on a common denominator, writing it as a single base, and then comparing 3 to the square root of 2 with closer and closer fractions. This logarithmic inequality is applied math and analysis at its finest, and a treat for algebra 2 students and mathematics undergraduates, especially those who like problem solving and logarithmic and exponential equations. YT channel: https://youtube.com/drpeyam TikTok channel: https://www.tiktok.com/@drpeyam Instagram: https://www.instagram.com/peyamstagram/ Twitter: https://twitter.com/drpeyam Teespring merch: https://teespring.com/stores/dr-peyam$