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Trigonometric Equation $\sin x=\tan\frac{\pi}{15}\tan\frac{4\pi}{15}\tan\frac{3\pi}{10}\tan\frac{6\pi}{15}$

Easiest way to solve this system of equations

Proof that $\sqrt6 - \sqrt2 - \sqrt3$ is irrational. [duplicate]

Is there a quick way to write say positive integers in an interval in mathematical notation?

Why can't the quadratic formula be simplified to $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}=\frac{-b\pm(b-2)\sqrt{ac}}{2a}$?

Variation on Pythagoras: If $a^2 + b^2 = c^2$, then $a + b \leq c\sqrt{2}$

Find all values of $a$ for which the inequality $(x-a-2)(x^2-(a^2+5a-3)x+5a^3-2a^2-5a+2) \leq 0$ has at most one positive solution

Using permutation or otherwise, prove that $\frac{(n^2)!}{(n!)^n}$ is an integer,where $n$ is a positive integer. [duplicate]

Simple solving Skanavi book exercise: $\sqrt[3]{9+\sqrt{80}}+\sqrt[3]{9-\sqrt{80}}$ [closed]

If $a,b,c,d,e,f$ are non negative real numbers such that $a+b+c+d+e+f=1$, then find maximum value of $ab+bc+cd+de+ef$

If $a^2+a b+b^2=40$ and $a^2-\sqrt{a b}+b=5$, then find $a^2+\sqrt{a b}+b$

How to obtain the distance covered by a projectile if an additional acceleration is taken into account?

If $f(x) = \frac{4^x}{4^x+2},$ find the value of $\sum \limits_{i=1}^{1999} f\left(\frac{i}{1999}\right) $

How to find the sum $\sum\limits_{k=1}^n (k^2+k+1)k!$?

pandigital rational approximations to the golden ratio and the base of the natural logarithm

A simple classical probability theory misunderstanding

New posts in algebra-precalculus

Showing $\sqrt{2}\sqrt{3} $ is greater or less than $ \sqrt{2} + \sqrt{3} $ algebraically

why is $\sqrt[3]{31}$ so close to $\pi$?

Angle between the hour and minute hands at 6:05

How to prove $\cos 36^{\circ} = (1+ \sqrt 5)/4$?

Trigonometric Equation $\sin x=\tan\frac{\pi}{15}\tan\frac{4\pi}{15}\tan\frac{3\pi}{10}\tan\frac{6\pi}{15}$

Easiest way to solve this system of equations

Proof that $\sqrt6 - \sqrt2 - \sqrt3$ is irrational. [duplicate]

Is there a quick way to write say positive integers in an interval in mathematical notation?

Why can't the quadratic formula be simplified to $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}=\frac{-b\pm(b-2)\sqrt{ac}}{2a}$?

Variation on Pythagoras: If $a^2 + b^2 = c^2$, then $a + b \leq c\sqrt{2}$

Find all values of $a$ for which the inequality $(x-a-2)(x^2-(a^2+5a-3)x+5a^3-2a^2-5a+2) \leq 0$ has at most one positive solution

Using permutation or otherwise, prove that $\frac{(n^2)!}{(n!)^n}$ is an integer,where $n$ is a positive integer. [duplicate]

Simple solving Skanavi book exercise: $\sqrt[3]{9+\sqrt{80}}+\sqrt[3]{9-\sqrt{80}}$ [closed]

If $a,b,c,d,e,f$ are non negative real numbers such that $a+b+c+d+e+f=1$, then find maximum value of $ab+bc+cd+de+ef$

If $a^2+a b+b^2=40$ and $a^2-\sqrt{a b}+b=5$, then find $a^2+\sqrt{a b}+b$

How to obtain the distance covered by a projectile if an additional acceleration is taken into account?

If $f(x) = \frac{4^x}{4^x+2},$ find the value of $\sum \limits_{i=1}^{1999} f\left(\frac{i}{1999}\right) $

How to find the sum $\sum\limits_{k=1}^n (k^2+k+1)k!$?

pandigital rational approximations to the golden ratio and the base of the natural logarithm

A simple classical probability theory misunderstanding