Question 1 :
The value of $\cot 15^{\circ} \cot 20^{\circ} \cot 70^{\circ} \cot 75^{\circ}$ is equal to
Question 2 :
If $ \displaystyle \sin \Theta +\cos \Theta =\sqrt{2,} and \Theta $ is actual , then $ \displaystyle \tan \Theta $ is equal to
Question 3 :
Express in Degrees:<br/>$(a) \displaystyle \left ( \frac{2 \pi}{15} \right )^{c}$ <br> $(b) \displaystyle (-2)^{c}$
Question 4 :
Change the following radian measure to degree measure:<br/>$\cfrac { 3\pi  }{ 2 } $
Question 8 :
If $x\cos { { 60 }^{ o } } -y\cos { { 0 }^{ o } } =3$<br/>$4x\sin { { 360 }^{ o } } -y\cot { { 45 }^{ o } } =2$<br/>then what is the value of $x$?
Question 9 :
If $\displaystyle \sin B=\frac{1}{2}$ what is the value of $\displaystyle 3\cos B-4\cos ^{3}B?$
Question 10 :
The value of $4\cos^{2} \dfrac {\pi}{3} + \sec^{2} \dfrac {\pi}{6} - \sin^{2} \dfrac {\pi}{4}$ is
Question 11 :
What is the value of $\dfrac {(\cos 10^{o}+\sin 20^{o})}{(\cos 20^{o}-\sin 10^{o})}$?
Question 14 :
The value of ${\cos ^2}{45^ \circ } - {\sin ^2}{15^ \circ }$ is
Question 15 :
Consider the following statements :<br>1. $1^o$ in radian measure is less than 0.02 radians.<br>2. 1 radian in degree measure is greater than $45^o$ <br>Which of the above statements is/are correct ?
Question 16 :
Evaluate $8 \sqrt{3} \, \text{cosec}^2 30^o \, \sin \, 60^o \, \cos \, 60^o \, \cos^2 45^o \, \sin \, 45^o \, \tan \, 30^o \, \text{cosec}^3 45^o$
Question 17 :
If $\tan \alpha  = 2$, then the value of $\dfrac{{\sin \alpha }}{{{{\sin }^3}\alpha  + {{\cos }^3}\alpha }}$ is
Question 20 :
Find the value of $\dfrac{sin (-660^o) tan (1050^o) sec (-420^o)}{cos (225^o ) cosec (315^o) cos(510^o)}$
Question 23 :
In $\sin \theta  = \dfrac{{ - 1}}{{\sqrt 2 }}\& \;\tan \;\theta $ lies in which quadrant?
Question 25 :
If $ \displaystyle \tan \Theta =2-\sqrt{3}$,then $ \tan \left ( 90^{\circ}-\Theta \right ) $ is equl to
Question 27 :
If $0<x<\pi$ , and $\cos { x } +\sin { x } =\cfrac { 1 }{ 2 }$, then $\tan { x } $ is -<br><br>
Question 28 :
If tan A = 4 /3, tanB = 1/ 7,then A - B =
Question 29 :
Given that $ \displaystyle \cos 50^{\circ}18'=0.6388\ and\ \cos 50^{\circ}42'=0.6334, $ then the possible value of $ \displaystyle \cos 50^{\circ}20' $ is 
Question 31 :
The smallest value of an angle whose sine is $ \displaystyle -\frac{\sqrt{3}}{2} $ is
Question 32 :
The value of $\sqrt2 ( \cos 15^o - \sin 15^o ) $ is equal to :
Question 33 :
In which quadrant does the terminal side of the angle $70^o$ lie?<br/>
Question 34 :
$A+B=\cfrac { \pi }{ 3 } ;\cos { A } +\cos { B } =1$, value of $\left| \cos { A } -\cos { B } \right| $ is <br><br>
Question 36 :
If a is any real number, the number of roots of $\cot x - \tan x = a$ in the first quardrant is<br/><br/>
Question 37 :
Which of the following is least ? (All angles have been measured in radians)
Question 39 :
<i></i>If $x = y\cos {{2\pi } \over 3} = z\cos {{4\pi } \over 3},$  then $xy + yz + zx = $ <br/>