10 trigonometric equations that separate EXPERTS from beginners @blackpenredpen
10 trigonometric equations that separate EXPERTS from beginners  @blackpenredpen
Uploaded September 2026 | Updated September 2026, 2 weeks ago
Master trigonometric equations, inverse trig functions, and identity tricks with these 10 essential practice problems! In this math tutorial, we work through step-by-step solutions to popular calculus readiness, precalculus, and math competition problems, covering nested functions, infinite geometric series, and graphical intersections. This is a perfect practice or challenge for your precalculus class. Enjoy!

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Q1, 00:00, Intro & sin(x) + sqrt(3)cos(x) = sqrt(2)
Q2, 04:46, tan^2(x) - (1 + sqrt(3))tan(x) + sqrt(3) = 0
Q3, 07:41, arcsin(x) * arccos(x) = 1/2
Q4, 16:36, Number of real solutions to cos(x) = x / (10pi)
Q5, 23:36, cos(3x)/cos(x) + sin(3x)/sin(x) = 2
Q6, 29:05, sin(arctan(cos(arctan(x)))) = 1/3
Q7, 33:35, sin(x)^cos(x - pi/4) = 1
Q8, 37:50, cos(x)cos(2x)cos(4x) = 1/8
Q9, 46:44, arcsin(x) + arcsin(2x) = pi/3
Q10, 51:46, 1 + sin^2(x) + sin^4(x) + ... = 4

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10 trigonometric equations that separate EXPERTS from beginners

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