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Apr
27
answered Show that $\sin^2 \theta \cdot \cos^2\theta = (1/8)[1 - \cos(4 \theta)]$.
Apr
9
answered Prove that there are no two functions $f$ and $g$ defined over real numbers that satisfy either of the following functional equations
Mar
27
answered Solve for $x$ using the lambert W function $ \frac{\ln(1+bx)}{x} = a$
Mar
26
answered Evaluate $\int_{0}^{\frac{\pi}{2}} \frac{1}{4\cos^{2}x + 9\sin^{2}x} dx$
Mar
13
answered If $\lim_{x\to 0}\frac{\cos^2x-\cos x-e^x\cos x+e^x-\frac{x^3}{2}}{x^n}$ is a non zero finite number number, find $n$ where $n\in\mathbb{N}$
Feb
1
answered Show that $\frac{1}{1+k}=\frac{\frac{1}{k}}{1+\frac{1}{k}}\leq \ln(1+\frac{1}{k})\leq\frac{1}{k}$
Jan
23
answered Finding $\sum_{k=1}^{\infty}k^2 \frac{2^{k-1}}{3^k}$
Jan
20
answered Solving SVM classifier with two weight vectors
Jan
11
answered How to prove $\cos \theta + \sin \theta =\sqrt{2} \cos\theta$.
Oct
26
asked Orthogonality of stochastic matrix
Oct
11
answered Evaluate $\int_{0}^{\frac{1}{2}}\ x\cos(\pi x)\,\mathrm{d}x$
Sep
30
answered find $\det(\det(A)B[\det(B)A^{-1}])$
Jun
20
answered How to prove that $\lim_{n\to\infty} \frac{1}{2}\tan(\frac{x}{2}) + … + (\frac{1}{2^{n}}) \tan(\frac{x}{2^{n}}) $ = $\frac{1}{x}-\cot(x)$
Mar
23
answered Prove that if $\alpha, \beta, \gamma$ are angles in triangle, then $(tan(\frac{\alpha}{2}))^2+(tan(\frac{\beta}{2}))^2+(tan(\frac{\gamma}{2}))^2\geq1$
Mar
23
answered Simple integral calculation: $\int \sqrt{x^2-4}\,dx$
Mar
18
answered Prove Trigonometric Identitiy
Mar
17
answered Why (x'Ay)^2 <=(x'Ax)(y'Ay), when A is positive definite?
Mar
11
answered Positive numbers inequality
Mar
11
answered Evaluating $\int_0^{\pi/2} \frac{a}{a^2+\cos^2 \theta} \, d\theta$
Mar
11
answered how to show $\frac{1+\cos x+\sin x}{1+\cos x-\sin x} = \frac{1+\sin x}{\cos x}$