Question 2 :
Given that $ \displaystyle \cos 50^{\circ}18'=0.6388\ and\ \cos 50^{\circ}42'=0.6334, $ then the possible value of $ \displaystyle \cos 50^{\circ}20' $ is 
Question 4 :
What will be the values of $\theta$ between $0^\circ$ and $360^\circ$ if $\displaystyle\sin{\theta}=-\frac{\sqrt{3}}{2}$
Question 5 : Express in Degrees:<br/>$(a) \displaystyle \left ( \frac{2 \pi}{15} \right )^{c}$<div>$(b) \displaystyle (-2)^{c}$</div>
Question 6 :
Given that A is positive acute angle and $  { sin }^{  }A=\dfrac { \sqrt { 3 } -1 }{ 2 } ,$ then A take the value (s)-
Question 7 :
The value of $\sin ^{ 2 }{ { 60 }^{ o } } +\tan { { 45 }^{ o } } -\text{cosec} ^{ 2 }{ { 45 }^{ o } } $ is
Question 8 :
IF $ \displaystyle \sin \Theta =\frac{8}{17} $ where $ \displaystyle 0^{\circ}<\Theta <90^{\circ}, $ then $ \displaystyle \tan \Theta +sec\Theta $ is
Question 14 :
If $\tan 45^{\circ} = \cot \theta$, then the value of $\theta$, in radians is
Question 15 :
If $ \dfrac{ \sin A}{ \sin B} = \dfrac{\sqrt{3}}{2}$ and $\dfrac{ \cos A}{\cos B} = \dfrac{\sqrt{5}}{2},\; 0<A,\; B< \pi/2, $ then $ \tan A+ \tan B$ is equal to
Question 17 :
The value of ${\cos ^2}{45^ \circ } - {\sin ^2}{15^ \circ }$ is
Question 21 :
Consider the following statements :<br>1. $1^o$ in radian measure is less than 0.02 <span>radians.<br>2. 1 radian in degree measure is greater <span>than $45^o$ <br>Which of the above statements is/are <span>correct ?</span></span></span>
Question 23 :
If $ \displaystyle \tan \Theta =2-\sqrt{3}$,then $ \tan \left ( 90^{\circ}-\Theta \right ) $ is equl to
Question 30 :
Range of the function $f$ defined by $\displaystyle f\left( x \right)=\left[ \frac { 1 }{ \sin { \left\{ x \right\} } } \right] $ (where $[.]$ and ${.}$ respectively denote the greatest integer and the fractional part functions) is
Question 32 : <div><span>Change the following radian measures to degree measure:</span><br/></div>$-\cfrac { 2\pi  }{ 3 } $
Question 33 :
Find the value of $\dfrac{sin (-660^o) tan (1050^o) sec (-420^o)}{cos (225^o ) cosec (315^o) cos(510^o)}$
Question 34 :
The value of $\cot 15^{\circ} \cot 20^{\circ} \cot 70^{\circ} \cot 75^{\circ}$ is equal to
Question 35 : <div>Change the following radian measure to degree measure:<br/></div>$\cfrac { 3\pi  }{ 2 } $
Question 37 :
If $\displaystyle \sin B=\frac{1}{2}$ what is the value of $\displaystyle 3\cos B-4\cos ^{3}B?$
Question 38 :
Evaluate $8 \sqrt{3} \, \text{cosec}^2 30^o \, \sin \, 60^o \, \cos \, 60^o \, \cos^2 45^o \, \sin \, 45^o \, \tan \, 30^o \, \text{cosec}^3 45^o$
Question 39 :
If $\tan \alpha  = 2$, then the value of $\dfrac{{\sin \alpha }}{{{{\sin }^3}\alpha  + {{\cos }^3}\alpha }}$ is
Question 48 :
If $sec \theta + tan \theta = k, cos \theta =$
Question 49 : <div>Express the following angle in terms of first-quadrant reference angle:<br/></div>$\tan { { 336 }^{ o } } \quad $
Question 50 : <div>State the whether given statement is true or false </div>In triangle $ABC , $  $\displaystyle \cos^{2}\frac{A}{2}+\cos^{2}\frac{B}{2}+\cos^{2}\frac{C}{2}=2\cos\frac{A}{2}\cos\frac{B}{2}\sin\frac{C}{2}$. <br/>
Question 51 :
The value of $152.\left( \sin { { 30 }^{ o } } +2\cos ^{ 2 }{ { 45 }^{ o } } +3\sin { { 30 }^{ o } } +4\cos ^{ 2 }{ { 45 }^{ o } } +.....+17\sin { { 30 }^{ o } } +18\cos ^{ 2 }{ { 45 }^{ o } }  \right) $ is
Question 53 :
The angles of a triangle are in $\displaystyle AP$ and the ratio of the number of degrees in the least to the number of radius in the greatest is $\displaystyle 60 : \pi$. The smallest angle is
Question 54 :
The terminal arc is on negative Y-axis, what are the possible measures of angles? What can you say about these angles?
Question 55 :
If $\sin x=\displaystyle \frac {1}{2}$, then the value of $\tan x, x\in(\displaystyle \frac {\pi }{2},\pi)$ is
Question 59 : The value of <div>$ \tan{{45}^{o}} \times \tan{{8}^{o}} \times \tan{{82}^{o}} $  is equal to? </div>
Question 60 :
If sin$\theta = -0.6$, the find the quadrant from which the terminal arm making an angle of $\theta^o$ passes.<br/>
Question 62 :
If $A=\begin{bmatrix} \cos { \theta  }  & -\sin { \theta  }  \\ \sin { \theta  }  & \cos { \theta  }  \end{bmatrix}$, then which of the following statements is not correct?
Question 63 :
If $\tan {\theta _1} = k\cot {\theta _2}$, then $\dfrac{{\cos \left( {{\theta _1} - {\theta _2}} \right)}}{{\cos \left( {{\theta _1} + {\theta _2}} \right)}} = $
Question 64 :
Given that $\cos { { 50 }^{ o }20' } =0.6388$ and $\cos { { 50 }^{ o }42' } =0.6334$, then the possible value of $\cos { { 50 }^{ o }20' } $ is
Question 65 :
Find the value of $\cot { { 45 }^{ o } } +\cot { { 30 }^{ o } } +\sin { { 150 }^{ o } } $
Question 67 :
The area of a sector of a circle of radius $7\ cm$ and central angle $120^{o}$ is
Question 69 :
IF $-\pi< \theta< -\cfrac{\pi}{2}$, then $\quad \left| \sqrt { \cfrac { 1-\sin { \theta } }{ 1+\sin { \theta } } } +\sqrt { \cfrac { 1+\sin { \theta } }{ 1-\sin { \theta } } } \right| $ is equal to
Question 70 :
Given an isoceles triangle, whose one angle is $120^o C $ and radius of its incircle is $ \sqrt3 , $ then the area of the triangle in sq. units is :
