lab bhattacharjee

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1,262 Answers

newest activity votes
5
A problem on range of a trigonometric function: what is the range of $\frac{\sqrt{3}\sin x}{2+\cos x}$?
5
Finding the remainder when $2^{100}+3^{100}+4^{100}+5^{100}$ is divided by $7$
5
Functions: Detirmining values a & b
5
Summing $ \sum _{k=1}^{n} k\cos(k\theta) $ and $ \sum _{k=1}^{n} k\sin(k\theta) $
5
Finding the limit of $\frac{1-\cos(2x)}{1-\cos(3x)}$ for $x \to 0$
5
Trying to solve equation $\sin^2 x = 1$
5
Solving $a \sin(\alpha) - c \sin^2(\alpha) = b \cos(\alpha) - c \cos^2(\alpha)$
5
Show that $\int_{0}^{\frac \pi2} f(x) \operatorname{d}x = \pi/4$
5
Exponential equation, $(3+2\sqrt2)^x+1=6(\sqrt2+1)^x$
5
Proof of $\sin^2 x+\cos^2 x=1$ using Euler's Formula
5
the unit digit for $3^{100}\cdot 37^{98}$
5
How do I completely solve the equation $z^4 - 2z^3 + 9z^2 - 14z + 14 = 0$ where there is a root with the real part of $1$.
5
Prove $19m^2+95mn+2000n^2=1995$ has no integer solution for $n$ and $m$
5
How to find this limit?
5
Does an integer $9<n<100$ exist such that the last 2 digits of $n^2$ is $n$?
5
Proof: $x (y - x + 1) > y$ if $y > x$
5
Point of convergence of series
5
What is formula for multiple two finite series?
5
Limit calculation
5
Derivation of $e$
5
troubles proving $\lim_{n\rightarrow\infty}\sqrt[n]{n}=1$
5
Limit of $\left(\frac{n^{2}+8n-1}{n^{2}-4n-5}\right)^{n}$, is the following true?
5
Numerical puzzle
5
Solution for the value of angle $A$ of a triangle
5
Possible values of $N$
5
Is it true that $\sinh^{-1}\Big(\frac{z}{\sqrt{1-z^2}}\Big)=\tanh^{-1}(z)$?
5
Put this equation of a circle in its standard form
5
Give the remainder when..
5
By using properties of determinants show that
5
How do I transform the equation based on this condition?
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