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Geometry Question (Tips)

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#geometry #trigonometry #euclidean-geometry #triangles
93
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Basic trigonometry - $\sin{(-a)} = -\sin{(a)}$

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#trigonometry
110
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Evaluating $\int_{-\infty}^\infty \sin(x)\cos(x)\ dx$

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#integration #trigonometry #improper-integrals
52
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How to calculate the total lenght of a series of arc lenghts when the angle changes?

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#algebra-precalculus #trigonometry
136
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What is the maximum value of $k$ so that $x^2+4(\sin^{2}{x}\tan^{2}{x}+\cos^{2}{x}\cot^{2}{x}+k^2-x\sec{x}\csc{x})=0$ has real roots.

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#trigonometry #polynomials
155
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Prove $\sin8\theta-\sin10\theta=\cot9\theta(\cos10\theta-\cos8\theta)$

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#algebra-precalculus #trigonometry
292
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If $a,b,c$ are in arithmetic progression, prove that...

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#sequences-and-series #trigonometry #fractions #arithmetic-progressions
2.1k
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number of distinct solution $x\in[0,\pi]$ of the equation satisfy $8\cos x\cos 4x\cos 5x=1$

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#trigonometry #polynomials #roots #factoring #substitution
99
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Tower on a slope problem

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#trigonometry
3k
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How to visualise positive and negative tangents

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#trigonometry #visualization #tangent-line
69
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how to solve this trig equation?

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#trigonometry
141
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Finding the exact value of $\tan\left(\frac{1}{2}\arccos \frac{2}{5}\right)$

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#trigonometry
68
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Adjusting the radii of two circles, with known distance between circles

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#geometry #trigonometry #circles #average
235
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Integration problem involving $\sqrt{\cos(x)-\cos^3(x)}$

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#real-analysis #trigonometry #definite-integrals #radicals #substitution
84
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$e^{-\beta \frac{1}{2}\hbar \omega} \frac{1}{1 - e^{\beta \hbar \omega}} = \frac{1}{2 \sinh \left( \frac{\beta \hbar \omega}{2}\right)}$

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#trigonometry #hyperbolic-functions

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