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Evaluating $\lim_{x \to 0} \frac{ x^2-\ln(\cos{x})}{x} $

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#limits #trigonometry
51
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Why is this expression real valued and nonnegative?

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#complex-analysis #trigonometry #complex-numbers #exponential-function
249
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Simplifying $\sin^2 (\alpha) \cos^2 (\alpha)$

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#real-analysis #calculus #trigonometry
92
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Were the classic "high school" trigonometric formulae known and derived before Fourier transforms?

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#trigonometry #reference-request #soft-question #fourier-analysis #math-history
284
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Difference between $\sin^{-1} (3x-4x^3)$ and $3\sin^{-1} x$

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#trigonometry
44
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Prove the linear dependence of cosx, cos(x+1), cos(x-1)

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#linear-algebra #functions #trigonometry
29k
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Exponential of Pauli Matrices

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#linear-algebra #trigonometry #quantum-computation
65
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How would I algebraically determine if a triangle whose vertices A(2,6) B(9,0) C(3,6) is a right angle triangle?

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#trigonometry #vectors
51
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Trigonometry, Maximum and minimum value

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#trigonometry
208
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Identity of tan(x)

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#trigonometry #numerical-methods
52
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Trigonometry puzzling problem

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#trigonometry #euclidean-geometry
133
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Finding Resultant Vector

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#trigonometry #vectors
72
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Telescoping Rhombuses

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#geometry #trigonometry #complex-numbers #induction
202
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Solving $d = \frac{v^2}{2g} \left( 1+ \sqrt{ 1+ \frac{2g y_0}{v^2 \sin^2{\theta}} } \right)\sin{2\theta}$ for $\theta$

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#trigonometry #projectile-motion
499
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Prove that the functions cos3x, sin3x, cos4x, sin4x are linearly independent in ODEs

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#linear-algebra #trigonometry

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