List of practice Questions

The value of $\left(\frac{\cos\left(\frac{\pi}{2} + x\right) + \sin\left(\frac{\pi}{2}+ x\right)}{\cos\left(\frac{\pi}{2} - x\right) - \sin\left(\frac{\pi}{2} - x\right)}\right)^{2} $ is
The value of $cos \,12^{\circ} + cos84^{\circ} + cos \,156^{\circ} + cos \,132^{\circ}$ is
The value of $\cos^2 \, 48^{\circ} - \sin^2 12^{\circ}$ is
The value of $\cos\left( 2 \cos^{-1} x + \sin^{-1} x\right) $ at $x = \frac{1}{5} $ is
The value of $\cos \frac{2\pi}{7} + \cos \frac{4 \pi}{7} + \cos \frac{6\pi}{7} $ is equal to
The value of $\cos \, 1^{\circ} \, \cos \, 2^{\circ} \, \cos \, 3^{\circ} ... \cos \, 179^{\circ}$ is
The value of $\cos^{-1} \left(\cos \frac{7\pi}{6}\right) $ is
The value of $\cos \, 12^{\circ} + \cos \, 84^{\circ} + \cos \, 156^{\circ} + \cos \, 132^{\circ}$ is
The value of $\binom{30}{0}\binom{30}{10}-\binom{30}{1}\binom{30}{11}+\binom{30}{2}\binom{30}{12} .....+ \binom{30}{20}\binom{30}{30}$ is where $\binom{n}{r} = ^{n}C_{r}$
The value of $c$ in Rolle's theorem for the function $f(x) = x^3 - 3x$ in the interval $\left[0, \sqrt{3}\right]$ is
The value of azimuthal quantum number for electrons present in $6p$-orbitals is
The value of $2^{1/4}.4^{1/8}. 8^{1/6}....\infty $ is
The value of activation energy for a chemical reaction is primarily dependent on
The value of angle of dip is zero at the magnetic equator because on it
The value of 1.2.3 + 2.3.4 +3.4.5 + ... + n terms is
The value of $1^2.C_1 + 3^2.C_3 + 5^2.C_5 + ...$ is :
The value of $\frac{1}{81^n}-\frac{10}{81^n}\,^{2n}C_1+\frac{10^2}{81^n}\,^{2n}C_2-\frac{10^3}{81^n}\,^{2n}C_3+.....+\frac{10^{2n}}{81^n}is$
The value of $\left(1+i\right)^{4} \left(1+\frac{1}{i}\right)^{4}$ is
The uppermost region of the atmosphere is called
The valence shell electronic configuration of alkali metals is
The valency of Cr in the complex $[Cr(H_2O)_4Cl_2)^+$ is
The value o $\frac{3+cot\,76^\circ cot\,16^\circ}{cot\,76^\circ + cot\,16^\circ} is $
The unit of the quantity g/G in SI will be
The unit of thermal conductance is
The units of dipole moment is