Question 1 :
If $(\sin \theta - \cos \theta) = 0$, then $(\sin^{4} \theta + \cos^{4} \theta) =$
Question 2 :
The value of $\cot 1^{\circ} \cot 2^{\circ} .... \cot 89^{\circ}$ is .....
Question 3 :
The value of $\displaystyle \frac { 2\cos { { 67 }^{ o } }  }{ \sin { { 23 }^{ o } }  } -\frac { \tan { { 40 }^{ o } }  }{ \cot { { 50 }^{ o } }  } $ is :
Question 4 :
Choose the correct alternative:<br>$\ cosec \theta = \dfrac { 1 } { \dots \ldots }$<br>
Question 5 :
If $\tan A = \displaystyle\dfrac{3}{4}$ and $A+B = 90^{\small\circ}$, then what is the value of $\cot B$?
Question 6 :
Find the value of $\displaystyle \cos { \left( { 90 }^{ o }-A \right)  } \tan { \left( { 90 }^{ o }-A \right)  } \sec { \left( { 90 }^{ o }-A \right)  } $
Question 7 :
The value of $\displaystyle \cot 15^{\circ}\cot 16^{\circ}\cot 17^{\circ}.....\cot 73^{\circ}\cot 74^{\circ}\cot 75^{\circ}$ is
Question 8 :
The value of $\displaystyle \frac { \cos { { 70 }^{ o } }  }{ \sin { { 20 }^{ o } }  } +\frac { \cos { { 59 }^{ o } }  }{ \sin { { 31 }^{ o } }  } -8{ \sin }^{ 2 }{ 30 }^{ o }$ is :
Question 10 :
Consider the following statements : <br>1. $\cos\theta+\sec\theta$ can never be equal to $1.5$<br>2. $\tan\theta+\cot\theta$ can never be less than to $2$<br>Which of the above statements is/are correct ?
Question 12 :
$\cos 75^{\circ} + \cot 75^{\circ}$, when expressed in terms of angles between $0^{\circ}$ and $30^{\circ}$, becomes
Question 13 :
Find $\theta$, if $\displaystyle\frac{2\tan\displaystyle\frac{\theta}{2}}{1 + \tan^2\displaystyle\frac{\theta}{2}} = 1,\quad 0^{\small\circ} < \theta \le 90^{\small\circ}$<br/>
Question 14 :
Choose the correct alternative answer for the following question.<br/>$cosec \ 45^\circ= ?$
Question 15 :
The value of $\displaystyle {\text{cosec} }^{ 2 }{ 67 }^{ o }-{ \tan }^{ 2 }{ 23 }^{ o }$ is :
Question 16 :
If $\cos 9\alpha = \sin \alpha$, and $9\alpha < 90^{\circ}$, then $\tan 5\alpha = .....$
Question 18 :
Evaluate: $\displaystyle \sin { { 40 }^{ o } } .\sec{ { 50 }^{ o } }-\cfrac { \tan { { 40 }^{ o } }  }{ \cot { { 50 }^{ o } }  } +1$
Question 19 :
Find the value of : $\dfrac {\cos 38^{\circ} \csc 52^{\circ}}{\tan 18^{\circ} \tan 35^{\circ} \tan 60^{\circ} \tan 72^{\circ} \tan 55^{\circ}} =$
Question 20 :
$2 \tan 45^{\circ} + \cos 45^{\circ} - \sin 45 ^{\circ} =? $
Question 21 :
$\tan 68^{\circ} + \sec 68^{\circ}$, when expressed in terms of angles between $0^{\circ}$ and $45^{\circ}$, becomes
Question 23 :
The value of $\displaystyle \frac { \cos { \left( { 90 }^{ o }-A \right)  }  }{ \text{cosec}\left( { 90 }^{ o }-A \right)  } \times \frac { \cot{ \left( { 90 }^{ o }-A \right)  } }{ \sin { A }  } $ is
Question 24 :
In $\triangle ABC,   \angle B=90^o,   \angle A=30^o,   AB =9  cm\ $, then $BC =$
Question 25 :
The value of $\sec$ $(90^0 - \theta) \sin \theta$ is <br/><br/><br/>
Question 26 :
Solve: $\sec 70^{\circ} \sin 20^{\circ} + \cos 20^{\circ} \text{cosec } 70^{\circ} $
Question 27 :
If $\tan A+\cot A=4,\ then\ {\tan}^{4}\ A+{\cot}^{4}\ A$ is equal to 
Question 28 :
$\tan 10^{\circ} \tan 20^{\circ} \tan 30^{\circ} \tan 40^{\circ} \tan 50^{\circ} \tan 60^{\circ} \tan 70^{\circ} \tan 80^{\circ} $ is equal to
Question 29 :
The value of   $\displaystyle \sin { \theta  } \cos { \theta  } -\frac { \sin { \theta  } \cos { \left( { 90 }^{ o }-\theta  \right)  } \cos { \theta  }  }{ \sec { \left( { 90 }^{ o }-\theta  \right)  }  } -\frac { \cos { \theta  } \sin { \left( { 90 }^{ o }-\theta  \right)  } \sin { \theta  }  }{ \text{cosec }\left( { 90 }^{ o }-\theta  \right)  } $ is :
Question 30 :
Which of the following pair is a correct trignometric inter-relationship?<table class="wysiwyg-table"><tbody><tr><td>(1) $\cos { \theta  } $</td><td>(a) $\cfrac { 1 }{ \tan { \theta  }  } $</td></tr><tr><td>(2) $\tan { \theta  } $</td><td>(b) $\cfrac { 1 }{ co\sec { \theta  }  } $</td></tr><tr><td>(3) $\cot { \theta  } $</td><td>(c) $\cfrac { 1 }{ \sec { \theta  }  } $</td></tr><tr><td>(4) $\sin { \theta  } $</td><td>(d) $\cfrac { 1 }{ \cot { \theta  }  } $</td></tr><tr><td><br/></td><td></td></tr></tbody></table>
Question 31 :
Evaluate: $\cfrac { \sin { \theta  } \cos { \theta  } \sin { \left( { 90 }^{ o }-\theta  \right)  }  }{ \cos { \left( { 90 }^{ o }-\theta  \right)  }  } +\cfrac { \cos { \theta  } \sin { \theta  } \cos { \left( { 90 }^{ o }-\theta  \right)  }  }{ \sin { \left( { 90 }^{ o }-\theta  \right)  }  } +\cfrac { \sin ^{ 2 }{ { 27 }^{ o } } +\sin ^{ 2 }{ { 63 }^{ o } }  }{ \cos ^{ 2 }{ { 40 }^{ o } } +\cos ^{ 2 }{ { 50 }^{ o } }  } $
Question 32 :
The value of $\displaystyle \frac { \tan { { 49 }^{ o } } }{ \cot { { 41 }^{ o } } } $ is :
Question 33 :
The value of the expression $[\text{cosec(}75^{\small\circ}+\theta) - \sec(15^{\small\circ}- \theta) - \tan(55^{\small\circ} + \theta) + \cot(35^{\small\circ} - \theta)]$ is
Question 34 :
If  $\displaystyle \theta ={ 45 }^{ o }$, then $\displaystyle2 \sin { \theta  } cos{ \theta }$ is :
Question 35 :
If $t = 45^{\circ}$, what is $\sec (t) \sin (t) - \mathrm{cosec} (t) \cos (t)$?
Question 38 :
The value of $\displaystyle \tan { { 5 }^{ o } } .\tan { { 85 }^{ o } } .\tan { { 31 }^{ o } } .\tan { { 5 }9^{ o } } .\tan { { 45 }^{ o } } $ is :
Question 39 :
If $\cos 9\theta=\sin \dfrac{\pi}{4}$, then the value of $\tan 6\theta$ is
Question 40 :
Find the value of $\displaystyle \left( \frac{3  \cos  43^{\circ}}{\sin  47^{\circ}} \right)^2 -\frac{\cos  37 ^{\circ}.  \text{cosec}  53^{\circ}}{\tan  5^{\circ}.  \tan  25^{\circ}. \tan  45^{\circ}.  \tan  65^{\circ}  \tan  85^{\circ}} $
Question 41 :
$\sin 30^{\circ} \cos 60^{\circ} + \sin 60^{\circ} \cos 30^{\circ}  $ is equal to
Question 44 :
$\displaystyle \left (\frac{\sin\, 50^{\circ}}{\cos\, 40^{\circ}} \right)^{2}\, +\, \left (\frac{\cos\, 28^{\circ}}{\sin\, 62^{\circ}} \right)^{2}\, -\, 2\, \tan^{2}\, 45^{\circ}$
Question 45 :
The value of $\displaystyle \frac { \cot { { 40 }^{ o } }  }{ \tan { { 50 }^{ o } }  } -\frac { 1 }{ 2 } \left( \frac { \cos { { 35 }^{ o } }  }{ \sin { { 55 }^{ o } }  }  \right) $ is 
Question 46 :
If $\displaystyle \sin \theta +co\sec \theta =2$, then $\displaystyle \sin^n\theta +co\sec ^{n}\theta $ is equal to
Question 47 :
$\sin { 2A } =2\sin { A } $ is true then A = _____
Question 48 :
$\displaystyle \frac { \sec { \theta  }  }{ \text{cosec }\left( { 90 }^{ o }-\theta  \right)  } -\frac { \sin { \theta  }  }{ \cos { \left( { 90 }^{ o }-\theta  \right)  }  } +\cos { { 0 }^{ o } } $ is equal to :
Question 50 :
The value of $\displaystyle \tan { \theta  }. \tan { \left( { 90 }^{ o }-\theta  \right)  } +\cos { \theta  } .\text{cosec}\left( { 90 }^{ o }-\theta  \right) $ is