Question 4 :
The value of $[\dfrac{\tan 30^{o}.\sin 60^{o}.\csc 30^{o}}{\sec 0^{o}.\cot 60^{o}.\cos 30^{o}}]^{4}$ is equal to

Question 5 :
Which of the following is equal to $\sin x \sec x$?

Question 6 :
If $\sec{2A}=\csc{(A-42^\circ)}$ where $2A$ is acute angle then value of $A$ is

Question 8 :
find whether ${ \left( \sin { \theta  } +co\sec { \theta  }  \right)  }^{ 2 }+{ \left( \cos { \theta  } +\sec { \theta  }  \right)  }^{ 2 }=7+\tan ^{ 2 }{ \theta  } +\cos ^{ 2 }{ \theta  } $ is true or false.

Question 9 :
Solve : $\dfrac { 2tan{ 30 }^{ \circ  } }{ 1+{ tan }^{ 2 }{ 30 }^{ \circ  } } $

Question 13 :
Given $tan \theta = 1$, which of the following is not equal to tan $\theta$?

Question 14 :
If $\sin \theta + \cos\theta = 1$, then what is the value of $\sin\theta \cos\theta$?

Question 15 :
If $\sec \theta + \tan \theta = p$ then $\sin \theta = \frac { p ^ { 2 } + 1 } { p ^ { 2 } - 1 }$ 

Question 16 :
The value of$\displaystyle \frac { \tan { { 49 }^{ o } } }{ \cot { { 41 }^{ o } } }$ is :

Question 18 :
The value of $\displaystyle { \left( \frac { \sin { { 47 }^{ o } }  }{ \cos { { 43 }^{ o } }  }  \right)  }^{ 2 }+{ \left( \frac { \cos { { 43 }^{ o } }  }{ \sin { { 47 }^{ o } }  }  \right)  }^{ 2 }-4{ \cos }^{ 2 }{ 45 }^{ o }$ is :

Question 19 :
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 20 :
If$\displaystyle 3\tan { \theta } =4$, then$\displaystyle \sin { \theta }$ is :

Question 22 :
The value of$ \displaystyle \tan 1^{\circ}\tan 2^{\circ}\tan 3^{\circ}.....\tan 89^{\circ} $ is

Question 23 :
Find the value of $\tan 10^{\circ} \tan 15^{\circ} \tan 75^{\circ} \tan 80^{\circ} $

Question 24 :
Given : $\cos A\, =\, \displaystyle \cfrac{5}{13}$. If $\cot\, A\, +\, \displaystyle \cfrac{1}{\cos A}$ is $\displaystyle \cfrac{181}{m}$, $m$ is: 

Question 25 :
Value of the expression<br/><br/>$(1- \cos \theta)(1 + \cos \theta) (1+ \cot^2 \theta)$ is<br/>