Parth Kohli
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 Aug 7 answered Prove identity: $\frac{1+\sin\alpha-\cos\alpha}{1+\sin\alpha+\cos\alpha}=\tan\frac{\alpha}{2}$ Jun 24 awarded Yearling May 29 answered Find an acute angle $\gamma$ such that $\sin \gamma + \cos \gamma= \sqrt{2}$ May 24 answered How to convert $\cos4\theta$ into $\cos3\theta$ May 7 awarded Good Answer Mar 6 reviewed Approve Proving $\lim_{x\to 0} \sin x = 0$ and finding solutions to $\frac{1-x}{1-x^2}\leq \frac{1}{x}$ Feb 7 revised Probability of $(a+b\omega+c\omega^{2})(a+b\omega^{2}+c\omega)=1$ edited title to more conventional notation (omega). Jan 7 awarded Nice Answer Jan 4 comment Given $a+b+c$, Can I calculate $a^2+b^2+c^2$? No. Are there any more details given? If $ab + bc + ca$ is given, for example, then you can use the relation $(a+b+c)^2 = a^2 + b^2 + c^2 + 2(ab + bc + ca)$. Dec 20 awarded Constituent Dec 9 awarded Caucus Nov 3 comment Is zero odd or even? That is a valid test too. Odd $-$ odd is always even. So zero is even. Oct 22 answered Without actually calculating the value of cubes find the value of $(1)^3+(2)^3+2(4)^3+(-5)^3+(-6)^3$. Also write the identity used Sep 30 awarded Explainer Sep 28 reviewed Edit Are there any nonzero integers $a$ , $b$ such that $a^2$ = $3b^2$ Sep 28 revised Are there any nonzero integers $a$ , $b$ such that $a^2$ = $3b^2$ non-latexed to latex Sep 20 answered How do I factor $z^4+2z^3+4z^2+2z+3$? Aug 31 comment Find the sum, if exists $\sum\limits_{n=1}^{\infty} \frac{(2n)!}{2^{2n}(n!)^2(n+1)}$ I'd just stick to Shubham's method. Aug 31 revised Finding the value of $\frac{\cos^4\beta}{\cos^2\alpha} + \frac{\sin^4\beta}{\sin^2\alpha}$. added 35 characters in body Aug 31 revised Finding the value of $\frac{\cos^4\beta}{\cos^2\alpha} + \frac{\sin^4\beta}{\sin^2\alpha}$. added clarity