Newbetuts

If $\frac{1}{a}+\frac{1}{b}+\frac{1}{c}=\frac{1}{a+b+c}$ then $\frac{1}{a^5}+\frac{1}{b^5}+\frac{1}{c^5}=\frac{1}{a^5+b^5+c^5}.$

Computing arctan in the range $-\pi\leq \theta\leq\pi$

Why are there two versions of a polar equation for a circle from geometric form

Product of Sines and Sums of Squares of Tangents

Express $x^4 + y^4 + x^2 + y^2$ as sum of squares of three polynomials in $x,y$ [duplicate]

Find all $f(x)$ such that $x(f(x+1)-f(x))=f(x)$

Does the fact that $\sum_{n=1}^\infty 1/2^n$ converges to $1$ mean that it equals $1$?

Seemingly conflicting notions of a function

Profit, Loss, Faulty measurements

Find $ \sin \left( \theta _{1}\right) ^{2}+ \sin \left( \theta _{2}\right) ^{2}+ \sin \left( \theta _{3}\right) ^{2}=? $

Prove that $\sum_{x=0}^{n}(-1)^x\binom{n}{n-x} (n+1-x)^n=n!$

Help writing proof for $\sqrt{a^2 + b^2} \neq \sqrt[3]{a^3 + b^3}$

The value of $x^2+y^2+z^2+w^2$

Closed form of $x_{n+1} =\frac{1}{2}\left(x_n-\frac{1}{x_n}\right)$ with $x_0 \neq 0,1$

Prove $a^2+b^2+c^2=x^2+y^2+z^2$ given that $a^2+x^2=b^2+y^2=c^2+z^2=(a+b)^2+(x+y)^2=(b+c)^2+(y+z)^2=(c+a)^2+(z+x)^2$

New posts in algebra-precalculus

Cube root of complex number without trigonometric functions

Conver the Equation $r=a \sin x+b\cos x$ into Cartesian Form

Prove $3(\sin x-\cos x)^4 + 6(\sin x+ \cos x)^2 + 4(\sin^6 x + \cos^6 x) -13 = 0$

$\sin ^6x+\cos ^6x=\frac{1}{8}\left(3\cos 4x+5\right)$, Any quick methods?

Writing a Polar Equation for the Graph of an Implicit Cartesian Equation

If $\frac{1}{a}+\frac{1}{b}+\frac{1}{c}=\frac{1}{a+b+c}$ then $\frac{1}{a^5}+\frac{1}{b^5}+\frac{1}{c^5}=\frac{1}{a^5+b^5+c^5}.$

Computing arctan in the range $-\pi\leq \theta\leq\pi$

Why are there two versions of a polar equation for a circle from geometric form

Product of Sines and Sums of Squares of Tangents

Express $x^4 + y^4 + x^2 + y^2$ as sum of squares of three polynomials in $x,y$ [duplicate]

Find all $f(x)$ such that $x(f(x+1)-f(x))=f(x)$

Does the fact that $\sum_{n=1}^\infty 1/2^n$ converges to $1$ mean that it equals $1$?

Seemingly conflicting notions of a function

Profit, Loss, Faulty measurements

Find $ \sin \left( \theta _{1}\right) ^{2}+ \sin \left( \theta _{2}\right) ^{2}+ \sin \left( \theta _{3}\right) ^{2}=? $

Prove that $\sum_{x=0}^{n}(-1)^x\binom{n}{n-x} (n+1-x)^n=n!$

Help writing proof for $\sqrt{a^2 + b^2} \neq \sqrt[3]{a^3 + b^3}$

The value of $x^2+y^2+z^2+w^2$

Closed form of $x_{n+1} =\frac{1}{2}\left(x_n-\frac{1}{x_n}\right)$ with $x_0 \neq 0,1$

Prove $a^2+b^2+c^2=x^2+y^2+z^2$ given that $a^2+x^2=b^2+y^2=c^2+z^2=(a+b)^2+(x+y)^2=(b+c)^2+(y+z)^2=(c+a)^2+(z+x)^2$