Question 5 :
The value of $\cot 15^{\circ} \cot 20^{\circ} \cot 70^{\circ} \cot 75^{\circ}$ is equal to
Question 6 :
The value of ${\cos ^2}{45^ \circ } - {\sin ^2}{15^ \circ }$ is
Question 7 :
If $ \displaystyle \tan \Theta =2-\sqrt{3}$,then $ \tan \left ( 90^{\circ}-\Theta \right ) $ is equl to
Question 8 :
Express in Degrees:<br/>$(a) \displaystyle \left ( \frac{2 \pi}{15} \right )^{c}$ <br> $(b) \displaystyle (-2)^{c}$
Question 10 :
If $\tan \alpha  = 2$, then the value of $\dfrac{{\sin \alpha }}{{{{\sin }^3}\alpha  + {{\cos }^3}\alpha }}$ is
Question 11 :
The angle subtended at the centre of circle of radius $3$ metres by an arc of length $1$ metre is equal to
Question 12 :
If $\tan \theta  =  - \dfrac{1}{{\sqrt {10} }}$ and $\theta $ lies in the fourth quadrant,then $\cos \theta  = $
Question 13 :
If $\theta \,\,\,\,$ and $\phi \,\,$ are angles in the 1st quadrant such that $\tan \theta  = \dfrac{1}{7}$ and $\sin \phi  = \dfrac{1}{{\sqrt {10} }}$ .
Question 16 :
If $\sin 2\theta = \dfrac{1}{2}$; $0 < \theta < 16^\circ$, then the value of $\theta$ is <br/>
Question 17 :
If  sin $\theta =\dfrac{7}{25} and\, \theta$ lies in the second quadrant, then the value of sec $\theta + tan \theta$<br/>
Question 19 :
If $\tan { \theta } =\tan { 240 }^{o} $, then the value of $\theta$ in the first quadrant is ${30}^{o}$.
Question 22 :
Which of the following is least ? (All angles have been measured in radians)
Question 23 :
lf $\alpha$ lies in the third quadrant, then $\displaystyle \sqrt{\displaystyle \frac{1-\sin\alpha}{1+\sin\alpha}}+\sqrt{\displaystyle \frac{1+\sin\alpha}{1-\sin\alpha}}=$<br/>
Question 25 :
The degree measure of 1 radian (taking $\pi =\dfrac { 22 }{ 7 }$ ) is
Question 26 :
If the angles of a triangle are in arithmetic progression such that $\sin (2A + B) =\dfrac 12$, then
Question 27 :
In a $\triangle ABC$, if $\cot A \cot B \cot C > 0$. then the $\triangle$ is