List questions from trigonometry

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Solid Trigonometry

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Prove $\cot(x) +\cot(\frac{\pi}{3}+x) + \cot(\frac{2\pi}{3}+x) = \frac{3-9\tan^2x}{3\tan x-\tan^3x}$

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Prove this trigonometric identity

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If this relation holds, then is the triangle equilateral?

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Evaluate $\int\frac{1}{\sin(x-a)\sin(x-b)}\,dx$

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derivative of trigonometry for cos to the power of 3

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Writing answers to trigonometric equation

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Integral with goniometric functions $\int(1+\cos^2x-\sin^2x)dx$

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Odd $\sin/\cos$ integral

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105

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Is there an upper bound on the number of distinct integer outputs a trig function can have?

Published on 13 Apr 2026 - 17:30

51

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$\frac d{dx}\cos x \space\mathrm{vs}\space\frac d{dx}\cos(-x)$

Published on 16 Apr 2026 - 15:15

78

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Why is the integral of $\cos(x) - \sin(x)$ from $0$ to $π/4$ equal to $\sqrt2 - 1$?

Published on 14 Apr 2026 - 7:02

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Solve $6\sin x \cos 2x\ge 0$

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54

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Solving for x Algebraically

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New Angle When Opposite Side is Halved

Solid Trigonometry

Prove $\cot(x) +\cot(\frac{\pi}{3}+x) + \cot(\frac{2\pi}{3}+x) = \frac{3-9\tan^2x}{3\tan x-\tan^3x}$

Prove this trigonometric identity

If this relation holds, then is the triangle equilateral?

Evaluate $\int\frac{1}{\sin(x-a)\sin(x-b)}\,dx$

derivative of trigonometry for cos to the power of 3

Writing answers to trigonometric equation

Integral with goniometric functions $\int(1+\cos^2x-\sin^2x)dx$

Odd $\sin/\cos$ integral

Is there an upper bound on the number of distinct integer outputs a trig function can have?

$\frac d{dx}\cos x \space\mathrm{vs}\space\frac d{dx}\cos(-x)$

Why is the integral of $\cos(x) - \sin(x)$ from $0$ to $π/4$ equal to $\sqrt2 - 1$?

Solve $6\sin x \cos 2x\ge 0$

Solving for x Algebraically

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