Question Text
Question 1 :
Find the value of $\dfrac{sin (-660^o) tan (1050^o) sec (-420^o)}{cos (225^o ) cosec (315^o) cos(510^o)}$
Question 2 :
What is the value of $\dfrac {(\cos 10^{o}+\sin 20^{o})}{(\cos 20^{o}-\sin 10^{o})}$?
Question 7 :
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 8 :
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 9 :
If $\tan 45^{\circ} = \cot \theta$, then the value of $\theta$, in radians is
Question 10 :
Change the following radian measures to degree measure:<br/>$-\cfrac { 2\pi  }{ 3 } $
Question 11 :
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 13 :
If $\theta$ is in the first quadrant and cos $\theta=\frac{3}{5}$, then the value of $\dfrac{5 tan \theta -4cosec \theta}{5 sec\theta-4cot \theta}$ is<br/><br/>
Question 14 :
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
