User Frightened of Sinusoids

4 votes

2 answers

127 views

Prove that if a small circle is 'inside' a larger circle but makes contact with at least one point, then the two circles only have one point in common

asked Mar 20, 2022 at 4:24

3 votes

1 answer

82 views

Converse of group homomorphism's preservation of subgroups

asked Jul 27, 2023 at 16:39

2 votes

3 answers

171 views

Quadratic equation: understanding how the absolute values in the derivation correspond to the $\pm$ symbol in the classic quadratic formula expression

asked Apr 12, 2022 at 2:57

1 vote

0 answers

34 views

How to explicitly derive the solution to the system of equations: $\cos(\omega_1t)-\cos(\omega_2t)=0$ and $\sin(\omega_1t)-\sin(\omega_2t)=0$

asked Nov 11, 2022 at 7:02

1 vote

2 answers

97 views

How does Wolfram Alpha compute the indefinite integral $\int \frac{1}{\sqrt{2x-x^2}}dx$

asked Jun 6, 2023 at 13:11

0 votes

1 answer

34 views

Does applying repeated inverse discrete Fourier transforms to a spectrogram produce a meaningful result?

asked Feb 8, 2023 at 1:26

0 votes

1 answer

46 views

How to show that the set of points satisfying an arbitrary circle in a 2D Euclidean plane $(\mathbb R \times \mathbb R)$ is infinite?

asked Mar 19, 2022 at 19:03

0 votes

1 answer

172 views

Determine at which values of $\theta$ the function $f(\theta)=\cos(\theta)\cos(\theta_1)+\sin(\theta)\sin(\theta_1)$ equals $1$

asked Mar 24, 2022 at 11:41

0 votes

2 answers

67 views

Prove that for any circle in R^2, if two ordered pairs on the circle are separated by 180 degrees, then the connecting line passes through the center

asked Mar 21, 2022 at 6:05

0 votes

2 answers

157 views

How to take derivative of a function $F \circ G$ when $F: \mathbb R \times \mathbb R \to \mathbb R$ and $G: \mathbb R \to \mathbb R \times \mathbb R$

asked Mar 23, 2022 at 6:07

-1 votes

1 answer

136 views

Analytical proof that the diameter is the longest chord of a circle

asked Mar 23, 2022 at 9:15

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11 Questions

Prove that if a small circle is 'inside' a larger circle but makes contact with at least one point, then the two circles only have one point in common

Converse of group homomorphism's preservation of subgroups

Quadratic equation: understanding how the absolute values in the derivation correspond to the $\pm$ symbol in the classic quadratic formula expression

How to explicitly derive the solution to the system of equations: $\cos(\omega_1t)-\cos(\omega_2t)=0$ and $\sin(\omega_1t)-\sin(\omega_2t)=0$

How does Wolfram Alpha compute the indefinite integral $\int \frac{1}{\sqrt{2x-x^2}}dx$

Does applying repeated inverse discrete Fourier transforms to a spectrogram produce a meaningful result?

How to show that the set of points satisfying an arbitrary circle in a 2D Euclidean plane $(\mathbb R \times \mathbb R)$ is infinite?

Determine at which values of $\theta$ the function $f(\theta)=\cos(\theta)\cos(\theta_1)+\sin(\theta)\sin(\theta_1)$ equals $1$

Prove that for any circle in R^2, if two ordered pairs on the circle are separated by 180 degrees, then the connecting line passes through the center

How to take derivative of a function $F \circ G$ when $F: \mathbb R \times \mathbb R \to \mathbb R$ and $G: \mathbb R \to \mathbb R \times \mathbb R$

Analytical proof that the diameter is the longest chord of a circle