Question Text
Question 3 :
Consider the following statements :<br>1. $1^o$ in radian measure is less than 0.02 radians.<br>2. 1 radian in degree measure is greater than $45^o$ <br>Which of the above statements is/are correct ?
Question 5 :
If $\tan \alpha  = 2$, then the value of $\dfrac{{\sin \alpha }}{{{{\sin }^3}\alpha  + {{\cos }^3}\alpha }}$ is
Question 6 :
The value of $4\cos^{2} \dfrac {\pi}{3} + \sec^{2} \dfrac {\pi}{6} - \sin^{2} \dfrac {\pi}{4}$ is
Question 11 :
In $\sin \theta  = \dfrac{{ - 1}}{{\sqrt 2 }}\& \;\tan \;\theta $ lies in which quadrant?
Question 12 :
If $x\cos { { 60 }^{ o } } -y\cos { { 0 }^{ o } } =3$<br/>$4x\sin { { 360 }^{ o } } -y\cot { { 45 }^{ o } } =2$<br/>then what is the value of $x$?
Question 15 :
If $\displaystyle \sin B=\frac{1}{2}$ what is the value of $\displaystyle 3\cos B-4\cos ^{3}B?$
Question 18 :
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 20 :
The value of $\cot 15^{\circ} \cot 20^{\circ} \cot 70^{\circ} \cot 75^{\circ}$ is equal to
