Mathematics - Quadratic Equation Question with Solution | TestHub

${\log }_4\left(a^3+b^2-1\right)$ is equal to 2 .

a = 2

${\lim }_{\mathrm{x}\to 0}\left(\left[\frac{{\mathrm{a}}^2\sin \mathrm{x}}{\mathrm{x}}\right]+\left[\frac{{\mathrm{b}}^2\tan \mathrm{x}}{\mathrm{x}}\right]\right)$ is equal to $12;[\mathrm{x}]$ represents greatest integer less than or equal to x .

${\tan }^{-1}(\tan (\mathrm{a}+\mathrm{b}))$ is equal to $6-2\pi$.