List of top Mathematics Questions

The value of $sin \frac{\pi}{10}sin \frac{13\pi}{10}$ is
The value of $\sin^{-1} \cos (sin^{-1}x)+\cos^{-1} \sin(\cos^{-1}x)$ is
The value of sin 10$^\circ$ + sin 20$^\circ$ + sin 40$^\circ$ + sin 50$^\circ$ = sin 70$^\circ$ + sin 80$^\circ$ is equal to
The value of sin 20$^\circ$ sin 40$^\circ$ sin 60$^\circ$ sin 80$^\circ$ is equal to
The value of $\sin \, 20^{\circ} \, \sin \, 40^{\circ} \sin \, 60^{\circ} \, \sin \, 80^{\circ}$ is
The value of $\sec\left[\tan^{-1}\frac{b+a}{b-a}-\tan^{-1}\frac{a}{b}\right]$ =
The value of $\sin^{-1}\left(\frac{4}{5}\right) +2\,\sin^{-1}\left(\frac{1}{3}\right)$ is equal to
The value of objective function is maximum under linear constraints
The value of $ \lim_{x \to \infty}\left(\frac{x^2 sin \left(\frac{1}{x}\right)-x} {1-|x|}\right)$ is
The value of $\left(\frac{\pi}{4} - \cos^{-1} \frac{4}{5}\right) $ is equal to
The value of $\lim_{x \to0} \frac{sin^2x+cosx-1}{x^2}$ is
The value of $\int\limits_{0}^{\infty} \frac {x\,\tan^{-1}x} {(1+x^2)^2}$ dx is
The value of $\displaystyle \lim_{x \to 0} \frac{\sqrt{1-cos\,x^{2}}}{1-cos\,x}$ is
The value of $ \displaystyle\lim_{x \to 0} \frac{\cos \, x}{\pi - x}$ is
The value of $\frac{d}{dx} [x^n \log_a xe^x ] = $
The value of $\Delta =\begin{vmatrix} ^{10}C_4 & ^{10}C_5 & ^{11}C_m \\[0.3em] ^{11}C_6 & ^{11}C_7 &^{12}C_{m+2} \\[0.3em] ^{12}C_8 & ^{12}C_9 & ^{13}C_{m+4} \end{vmatrix}$ is equal to zero, where m is
The value of $\Delta =\begin{vmatrix} ^5C_0 & ^5C_3 & 14 \\[0.3em] ^5C_1 & ^5C_4 &1 \\[0.3em] ^5C_2 & ^5C_5 & 1 \end{vmatrix}$ is
The value of $\displaystyle\int_1^e 10^{\log_ex}$ is equal to
The value of $\cos \left\{ \sin^{-1} \frac{3}{5} \right\}$ is :
The value of $\cot \left(cosec^{-1}\frac{5}{3}+\tan^{-1}\frac{2}{3}\right)$ is
The value of $\cos \frac{\pi}{3}. \cos \frac{\pi}{7}. \cos \frac{2\pi}{7}\cos \frac{4\pi}{7} : $
The value of cot 5$^\circ$ cot 10$^\circ$_______cot 85$^\circ$ is
The value of cos 20$^\circ$ cos 40$^\circ$ cos 60$^\circ$ cos 80$^\circ$ is equal to
The value of $\cos 22 \frac{1^{\circ}}{2}$ is
The value of cos 9$^\circ$ - sin 9$^\circ$ is