Newbetuts

What goes wrong in my parametric equation for it to produce only a partial rotation of the graph of $f(x)=\cos(x)$?

Find all $x\in\mathbb{R}$ such that $\left( \sqrt{2-\sqrt{2} }\right)^x+\left( \sqrt{2+\sqrt{2} }\right)^x=2^x$.

How fast are you moving on the earth at a given latitude?

Prove that if $x$ is a non-zero rational number, then $\tan(x)$ is not a rational number and use this to prove that $\pi$ is not a rational number.

Find the greatest value of $P= \frac{2x^2}{1+x^2} -\frac{2y^2}{1+y^2}+\frac{3z^2}{1+z^2}$

Composition of two functions is constant

Is it possible that a clock's three hands divide the clock face into 3 equal parts?

calculate $x^{206}+x^{200}+x^{90}+x^{84}+x^{18}+x^{12}+x^{6}+1$ given $(x+x^{-1})^2 = 3$

Solve the equation $\lfloor x^2\rfloor-3\lfloor x \rfloor +2=0$

Solve inequality: $-5 < \frac{1}{x} < 0$

Rationalize the denominator of $\frac{4}{9-3\sqrt[3]{3} + \sqrt[3]{9}}$

Binomial expansion for $(x+a)^n$ for non-integer n

How to evaluate the sum : $\sum_{k=1}^{n} \frac{k}{k^4+1/4}$

equilateral triangle; $3(a^4 + b^4 + c^4 + d^4) = (a^2 + b^2 + c^2 + d^2)^2.$

Sum: $\sum_{n=1}^\infty\prod_{k=1}^n\frac{k}{k+a}=\frac{1}{a-1}$

Without Chinese Remainder Theorem

New posts in algebra-precalculus

Fundamental Theorem of Algebra: What are two roots for $x^2$?

$\arcsin(\sin x)$ explanation?

Proof of identity $\sqrt {xy} = \sqrt x \sqrt y$ for $x,y \in \mathbb R^+$

Prove the distributive law $a(b+c)=ab+ac$ for real numbers?

What goes wrong in my parametric equation for it to produce only a partial rotation of the graph of $f(x)=\cos(x)$?

Find all $x\in\mathbb{R}$ such that $\left( \sqrt{2-\sqrt{2} }\right)^x+\left( \sqrt{2+\sqrt{2} }\right)^x=2^x$.

How fast are you moving on the earth at a given latitude?

Prove that if $x$ is a non-zero rational number, then $\tan(x)$ is not a rational number and use this to prove that $\pi$ is not a rational number.

Find the greatest value of $P= \frac{2x^2}{1+x^2} -\frac{2y^2}{1+y^2}+\frac{3z^2}{1+z^2}$

Composition of two functions is constant

Is it possible that a clock's three hands divide the clock face into 3 equal parts?

calculate $x^{206}+x^{200}+x^{90}+x^{84}+x^{18}+x^{12}+x^{6}+1$ given $(x+x^{-1})^2 = 3$

Solve the equation $\lfloor x^2\rfloor-3\lfloor x \rfloor +2=0$

Solve inequality: $-5 < \frac{1}{x} < 0$

Rationalize the denominator of $\frac{4}{9-3\sqrt[3]{3} + \sqrt[3]{9}}$

Binomial expansion for $(x+a)^n$ for non-integer n

How to evaluate the sum : $\sum_{k=1}^{n} \frac{k}{k^4+1/4}$

equilateral triangle; $3(a^4 + b^4 + c^4 + d^4) = (a^2 + b^2 + c^2 + d^2)^2.$

Sum: $\sum_{n=1}^\infty\prod_{k=1}^n\frac{k}{k+a}=\frac{1}{a-1}$

Without Chinese Remainder Theorem