Parth Kohli
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 Aug 31 revised Finding the value of $\frac{\cos^4\beta}{\cos^2\alpha} + \frac{\sin^4\beta}{\sin^2\alpha}$. edited title Aug 31 answered Finding the value of $\frac{\cos^4\beta}{\cos^2\alpha} + \frac{\sin^4\beta}{\sin^2\alpha}$. Aug 30 revised Adding $2$ absolute values together: $|x+2| + |x-3| =5.$ deleted 3 characters in body Aug 30 answered Adding $2$ absolute values together: $|x+2| + |x-3| =5.$ Aug 2 comment What are some good questions for this trick, if $\frac{a}{b}=\frac{c}{d}=\frac{e}{f}=\dots=\alpha$ then $\alpha=\frac{a+c+e+…}{b+d+f+…}$? Do you happen to have a copy of Higher Algebra by Hall and Knight? It contains quite a few of these in the first chapter. Jul 2 awarded Curious Jun 26 comment Trigonometry / Finding the exact value Do you understand that that the cosine function obtains the same value every $2\pi$? Jun 24 answered Problem of quadratic equation Jun 24 awarded Yearling Jun 20 awarded Nice Answer Jun 5 comment How do you solve this using only given values, logarithm rules and no calculator? You can introduce $\log(2)$ easily. $\log(4) = 2\log(2)= 0.6021$. Jun 3 revised How do I prove $\frac{ \sqrt{x+h}-\sqrt{x} }{ h}=\frac{1}{\sqrt{x+h}+\sqrt{x}}$? edited tags May 22 comment Inequality involving conjugate numerator/denominator pairs Are you there? Chat is up now. May 22 comment Inequality involving conjugate numerator/denominator pairs I would explain the full process to you, but the chat is offline. You can cancel the $x^3$ as a start. May 20 comment Inequality involving conjugate numerator/denominator pairs Yes, that's just the wavy-curve method. It's just that you put alternate + and - between the intervals. May 20 comment Inequality involving conjugate numerator/denominator pairs Don't worry. Do you know how to solve $(x + 2)(x + 4)(x + 7) < 0$ otherwise, without expanding it into a polynomial? May 20 comment Inequality involving conjugate numerator/denominator pairs $(x+2)(x+4)(x+7) < 0$ is another way to say that something is negative. Have you ever used the wavy-curve method? May 20 comment Inequality involving conjugate numerator/denominator pairs Corrected it. By the way, you should use the second method. May 20 revised Inequality involving conjugate numerator/denominator pairs edited body May 20 answered Inequality involving conjugate numerator/denominator pairs