Question 2 :
<span>If $\displaystyle \tan A=1 $ and $\displaystyle \tan B=\sqrt{3}$ evaluate:</span>$\displaystyle \cos A\cos B-\sin A\sin B$<br/>
Question 3 :
If $\sin (A + B) = 1$ and $\cos (A - B) = \dfrac {\sqrt {3}}{2}$, what is the measure of $A$ and $B$?
Question 4 :
If sin $\left (A-B \right )= \dfrac {1}{2}$ and cos$\left ( A+B\right) = \dfrac {1}{2}$, then the value of B is :<br/>
Question 5 :
If $x$ tan $45^{\circ} . cot 60^{\circ} = sin30^{\circ}.$ cosec $60^{\circ}$, then the value of $ x$ is:<br/>
Question 6 :
The value of $\sin$ $45^0 \cos 45^0 (\tan 45^0 + \cot 45^0)$ is<br/>
Question 8 :
The value of $\sin 60^{\circ} \cos 30^{\circ} + \cos 60^{\circ} \sin 30^{\circ}$ is equal to
Question 9 :
If $\displaystyle \sin \theta_{1}+\sin \theta_{2}+\sin \theta_{3} = 3,$ then $\displaystyle \cos \theta_{1}+\cos\theta_{2}+\cos \theta_{3} $is equal to
Question 10 :
If $\displaystyle \cos { A } -\sin { A } =0$, then the value of cosec A is :
Question 11 : <span>If 2 sin $x^{\circ}\,-\,1\,=\,0$ and $x^{\circ}$ is an acute angle;</span><div>$tan\,x^{\circ}$ is $\displaystyle\,\frac{1}{m}$, m is</div>
Question 12 :
If $\displaystyle \sin \Theta +\text{cosec }\Theta =2 $ find the value of $\displaystyle \cot \Theta +\cos \Theta  $
Question 14 :
If $t = 45^{\circ}$, what is $\sec (t) \sin (t) - \mathrm{cosec} (t) \cos (t)$?
Question 15 :
The value of $cos\, 1^\circ \times \, cos \, 2^\circ \times \, cos \, 3^\circ \times \  ....... \times \ cos\, 179^\circ$ is:
Question 18 :
The value of $ 4(\sin^4 30^0 + \cos^4 60^0)-3 (\cos^2 45^0 \sin^2 90^0)$ is<br/>
Question 19 : <div>Choose the correct option for the following.</div>The value of $\displaystyle \frac{\cos 3A-2\cos 4A}{\sin 3A+2\sin 4A}$ is $\displaystyle \frac{1-\sqrt{2}}{1+\sqrt{6}}$, when $A= 15^{0}$.<br/>
Question 20 :
$\dfrac { \tan ^{ 2 }{ 60^0 } +4\sin ^{ 2 }{ 45^0 } +3\sec ^{ 2 }{ 30 ^0} +5\cos ^{ 2 }{ 90^0 }  }{ \csc { 30^0 } +\sec { 60 ^0} -\cot ^{ 2 }{ 30^0 }  }  =$
Question 21 :
If $\tan30^0=x, \tan 45^0=y, \tan 60^0=z,$ then which of the following is/are correct?<br/>
Question 23 :
Given that $\sin\alpha = \displaystyle\frac{1}{2}$ and $\cos\beta=\displaystyle\frac{1}{2}$, then the value of $(\alpha + \beta)$ is
Question 26 :
The value of $\sin^2 60^0.\cos^2 30^0 + \tan 45^0. \cos 60^0 \sin 30^0$ is<br/>
Question 27 :
$2 \tan 45^{\circ} + \cos 45^{\circ} - \sin 45 ^{\circ} =? $
Question 29 :
If $\displaystyle \tan \theta =1$ and $\displaystyle \sin \phi =\frac{1}{\sqrt{2}},$ then the value of $\displaystyle \cos (\theta +\phi )$ is
Question 30 :
Evaluate the following<br><br>$(i)\quad \displaystyle\frac{1+\tan^230^{\small\circ}}{1-\tan^230^{\small\circ}}+cosec^260^{\small\circ} - \cos^245^{\small\circ} + \sin^245^{\small\circ} + \displaystyle\frac{1+\cot^260^{\small\circ}}{1-\cot^260^{\small\circ}}$<br><br>$(ii)\quad 4(\sin^430^{\small\circ} + \cos^460^{\small\circ}) - 3(\cos^245^{\small\circ} - \sin^290^{\small\circ})$
Question 31 :
The value of $\displaystyle 4\left ( \sin ^{4}30^{\circ}+\cos ^{4}30^{\circ} \right )-3\left ( \cos ^{2}45^{\circ}+\sin ^{2}90^{\circ} \right ) $  is:
Question 33 :
If $(\sin \theta - \cos \theta) = 0$, then $(\sin^{4} \theta + \cos^{4} \theta) =$
Question 35 :
If $x^2\tan^260^o-4x \cos^2 45^o=4 \sin 30^o \cos 60^o \tan 45^o$ and $x$ is not an integer then $x$ is equal to:<br/>
Question 38 :
If <span>$\cos ^{ 2 }{ 45^o- } \cos ^{ 2 }{ 30^o=x\cos {  { 45^o\sin {  { 45^o }  }  }  }  } $</span>, then $x = $
Question 39 :
<span>Evaluate : </span>$\cfrac{2}{3}(\cos ^{ 4 }{ { 30 }^{ o } } -\sin ^{ 4 }{ { 45 }^{ o } } )-3(\sin ^{ 2 }{ 60^{ o } } -\sec ^{ 2 }{ { 45 }^{ o } } )+\cfrac { 1 }{ 4 } \cot ^{ 2 }{ { 30 }^{ o } } $
Question 40 :
Choose the correct option and justify your choice :<br/>$\displaystyle \frac { 2\tan { { 30 }^{ \circ  } }  }{ 1-{ \tan }^{ 2 }{ 30 }^{ \circ  } } =$<br/>
Question 41 :
If cos$^2 45 - cos^2 30 = x . cos45. sin45$ then x is .......
Question 42 : Find the value of $\theta$ in each of the following if <br/><br/>(i) $ 2\cos3\theta = 1$<div>(ii) $ 2\sqrt3\tan\theta = 6$<br/>(iii) $ \displaystyle\frac{1-\tan^2\theta}{1+\tan^2\theta}=\displaystyle\frac{1}{2}$</div>
Question 43 :
If  $\displaystyle \theta ={ 45 }^{ o }$, then $\displaystyle2 \sin { \theta  } cos{ \theta }$ is :
Question 44 : The value of <div> <span>$32  { \cot }^{ 2 }{ 45 }^{ \circ  }-8  { \sec }^{ 2 }{ 60 }^{ \circ  }+8  { \cos }^{ 3 }{ 30 }^{ \circ  }\\$</span><br/><div><br/></div></div>
Question 45 :
Choose the correct alternative answer for following multiple choice question<br>Which of the following is the value of $\sin 90^{\circ}$
Question 46 :
$\sin { x } =\cfrac { 6\sin { { 30 }^{ o } } -8\cos { { 60 }^{ o } } +2\tan { { 45 }^{ o } }  }{ 2\left( \sin ^{ 2 }{ { 30 }^{ o } } +\cos ^{ 2 }{ { 60 }^{ o } }  \right)  } $, then $x=$ how much?
Question 47 :
If $\cos A \cos 30^{\circ} = \dfrac {\sqrt {3}}{4}$, then the measure of $A$ is
Question 48 :
$\dfrac { 1 }{ 4 } \left[ \cot ^{ 4 }{ 30^0 } -\csc ^{ 4 }{ 60^0 }  \right] +\dfrac { 3 }{ 2 } \left[ \sec ^{ 2 }{ 45^0 } -\tan ^{ 2 }{ 30^0 }  \right] -5\cos ^{ 2 }{ 60^0 } =$
