Question Text
Question 1 :
$\cos ^{-1}\left ( \cos \left ( \frac{5\pi}{4} \right ) \right )$ is given by
Question 4 :
If $n - 1\sum\limits_{}^\infty {{{\cot }^{ - 1}}\left( {{{{n^2}} \over 8}} \right) = \pi .} $ where ${a \over b}$ is rational number in its lowest, then correct option is/are
Question 7 :
Consider the following statements:<br/>1. $\tan^{-1} 1+ \tan^{-1} (0.5) = \dfrac {\pi}2$<br/>2. $\sin^{-1}{\cfrac{1}{3} }+ \cos^{-1}{\cfrac{1}{3}} =\cfrac{\pi}{2}$<br/>Which of the above statements is/are correct ? 
Question 9 :
The number of real values of x satisfying the equation $\tan^{-1}\left(\dfrac{x}{1-x^2}\right)+\tan^{-1}\left(\dfrac{1}{x^3}\right)=\dfrac{3\pi}{4}$, is?
Question 10 :
The value of $\sin^{-1} \left( \dfrac{2 \sqrt 2}{3} \right ) + \sin^{-1} \left( \dfrac{1}{3}\right )$ is equal to
Question 11 :
$\displaystyle \sum _{ r=1 }^{ n }{ { tan }^{ -1 } } \left(\dfrac { { 2 }^{ r-1 } }{ 1+{ 2 }^{ 2r-1 } } \right)$ is equal to :
Question 12 :
If $x$ and $y$ are positive and $xy > 1$, then what is $\tan ^{-1} x + \tan ^{-1} y$ equal to ?