Question Text
Question 1 :
IF A+B+C=$ \displaystyle 180^{\circ}  $ ,then $  tan A+tanB+tanC $ is equal to
Question 4 :
If $sin({ 90 }^{ 0 }-\theta )=\dfrac { 3 }{ 7 } $, then $cos\theta $
Question 5 :
If $ \alpha \epsilon \left[ \frac { \pi  }{ 2 } ,\pi  \right] $ then the value of $\sqrt { 1+sin\alpha  } -\sqrt { 1-sin\alpha  } $ is equal to
Question 6 :
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 8 :
$\sin 84^{\circ} + \sec 84^{\circ}$ expressed in terms of angles between $0^{\circ}$ and $45^{\circ}$ becomes
Question 9 :
If $3x cosec 36^{\circ} = \sec 54^{\circ}$, then the value of $x$ is
Question 10 :
$\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 11 :
If $\displaystyle X=\tan 1^{0}+\tan 2^{0}+........+\tan 45^{0}$ and $\displaystyle y= -(\cot 46^{0}+\cot 47^{0}+.......+\cot 89^{0})$ then find the value of $(x + y)$.
Question 12 :
If $\sin x= \cos y,\sqrt{6}\sin y= \tan z$ and $2\sin z= \sqrt{3}\cos x$; $u,v,w$ denotes respectively $\sin ^{2}x, \sin ^{2}y, \sin ^{2}z$ then the value of the triplet $\left ( u,v,w \right )$ is
Question 15 :
Which one of the following when simplified is not equal to one?