Abhijit
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2,140
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 22 What would have been our number system if humans had more than 10 fingers? Try to solve this puzzle. 22 Solve $\cos^2x-\sin^2x= 1$ 14 How to find the value of $\sin{\dfrac{\pi}{14}}+6\sin^2{\dfrac{\pi}{14}}-8\sin^4{\dfrac{\pi}{14}}$ 10 Trying to find a function whose derivative is $\cfrac{4x^3}{x^4+1}$ any ideas? 9 Prove $ax^2+bx+c=0$ has no rational roots if $a,b,c$ are odd

### Reputation (2,140)

 +10 Matrix transformation shearing the triangle to be right triangle +10 Solve $\cos^2x-\sin^2x= 1$ +10 Wolframalpha step-by-step of $\int\frac{\cos(x)}{\sqrt{2+\cos(2x)}}dx$ +10 Find the integer closest to $\ln(2013)$

### Questions (5)

 9 How to prove $\cos\left(\pi\over7\right)-\cos\left({2\pi}\over7\right)+\cos\left({3\pi}\over7\right)=\cos\left({\pi}\over3 \right)$ 2 How do you determine if a function is nonelementary antiderivative [duplicate] 1 Determine number of squares in progressively decreasing size that can be carved out of a rectangle 0 Solving recurrence equations 0 Calculating number of draws in a series of team matches

### Tags (45)

 63 algebra-precalculus × 15 13 derivatives × 3 48 trigonometry × 7 9 quadratics 30 number-systems × 3 8 real-analysis × 4 30 puzzle × 3 7 geometry × 7 14 calculus × 6 7 proof-strategy × 2

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 Stack Overflow 29,948 rep 33787 Programming Puzzles & Code Golf 2,480 rep 324 Mathematics 2,140 rep 316 Puzzling 784 rep 110 English Language & Usage 269 rep 18