Question 3 :
Select and wire the correct answer from the given alternatives. <br/>$\cos \left(\dfrac {3\pi}{2}+\theta \right)=$ ____
Question 5 :
If $\displaystyle x=y\sin \theta \cos \phi ,y=\gamma \sin \theta \sin \phi ,z=\gamma \cos \theta $. Eliminate  $\displaystyle \theta $ and  $\displaystyle \phi $
Question 6 :
The value of $\cos 1^{\circ}. \cos 2^{\circ}. \cos 3^{\circ} ...\cos 179^{\circ}$ is equal to:
Question 8 :
If A + B + C = ${ 180 }^{ o }$ then sin (A + B)=
Question 10 :
If $\sin \theta \, + \, \cos \theta \, = \, p, \, \sin^{3} \, \theta \, + \, \cos^{3} \, \theta \, = \, q$, then $ p(p^{2} \, - \, 3) \, = \, $  
Question 11 :
${\cos ^2}{48^ \circ } - {\sin ^2}{12^ \circ }$ is equal to -
Question 12 :
If $a=\cos\alpha \cos\beta+\sin \alpha \sin\beta \cos\gamma$<br/>$b=\cos\alpha \sin \beta-\sin\alpha \cos\beta \cos\gamma$<br/>and $c=\sin \alpha \sin\gamma$, then $a^2+b^2+c^2$ is equal to
Question 14 :
In atriangle $ABC$, $\sin A\cos B=\dfrac{1}{4}$ and $3\tan A=\tan B$ , the triangle is
Question 15 :
If $\tan { \theta  } +\sin { \theta  } =m, \tan { \theta - \sin { \theta =n }  } $, then $(m^{2}-n^{2})^{2}=$.<br/>
Question 16 :
If $ABCD$ is a cyclic quadrilateral such that $12$ $\tan A-5=0$ and 5 $\cos B+3=0$, then $\cos C\tan D=$<br/>
Question 17 :
If $x_{1}=1$ and $x_{n+1}=\frac{1}{x_{n}}\left ( \sqrt{1+x_{n}^{2}}-1 \right ),n\geq 1,n \in N$, then $x_{n}$ is equal to :<br>
Question 18 :
If $\displaystyle \frac { \sin ^{ 4 }{ x }  }{ 2 } +\frac { \cos ^{ 4 }{ x }  }{ 3 } =\frac { 1 }{ 5 } ,$ then:
Question 19 :
<br/>If $a \sin^{2}\theta+b\cos^{2}\theta=a\cos^{2}\phi+b\sin^{2}\phi=1$ and $a \tan\theta=b\tan\phi$, then choose the correct option.<br/>