Question Text
Question 1 :
As value of $x$ increases from $0$ to $\cfrac{\pi}{2}$, the value of $\cos {x}$:
Question 2 :
Given $tan \theta = 1$, which of the following is not equal to tan $\theta$?
Question 5 :
Consider the following statements:<br/>(1) The value of $\cos { { 46 }^{ o } } -\sin { { 46 }^{ o } } $ is positive.<br/>(2) The value of $\cos { { 44 }^{ o } } -\sin { { 44 }^{ o } } $ is negative<br/>Which of the  above statements is/are correct?
Question 6 :
The value of $\displaystyle \sin ^{6}\theta +cos^{6}\theta+3\cos ^{2}\theta \sin ^{2}\theta $ is
Question 9 :
$\dfrac {\cos (90 -\theta) \sec (90 - \theta)\tan \theta}{\text{cosec } (90 - \theta)\sin (90 - \theta) \cot (90 - \theta)} + \dfrac {\tan (90 - \theta)}{\cot \theta} = ......$
Question 10 :
If $\cos A+\cos^{2}A=1  $, then the value of $ \sin^2A+\sin^{4}A$ is:<br/>
Question 11 :
The value of$\displaystyle \frac { \cos { { 75 }^{ o } } }{ \sin { { 15 }^{ o } } } +\frac { \sin { { 12 }^{ o } } }{ \cos { { 78 }^{ o } } } -\frac { \cos { { 18 }^{ o } } }{ \sin { { 72 }^{ o } } }$ is :
Question 12 :
Assertion: In a right angled triangle, if $\cos \theta =\dfrac{1}{2}\:and\: \sin \theta =\dfrac{\sqrt{3}}{2}$, then $\: \tan \theta =\sqrt{3}$
Reason: $\tan \theta =\dfrac{\sin \theta}{\cos \theta}$
Question 13 :
If $\sin (\alpha+\beta)=1$ and $\sin(\alpha -\beta)=1/2$ where $\alpha, \beta \epsilon [0, \pi /2]$ then
Question 14 :
If $ABCD$ is a cyclic quadrilateral such that $12$ $\tan A-5=0$ and 5 $\cos B+3=0$, then $\cos C\tan D=$<br/>
Question 15 :
Which one of the following when simplified is not equal to one?