Question 1 :
If $$\sec{2A}=\csc{(A-42^\circ)}$$ where $$2A$$ is acute angle then value of $$A$$ is
Question 2 :
IF $$ \displaystyle \tan \theta =\sqrt{2}    $$ , then the value of $$ \displaystyle \theta     $$ is 
Question 3 :
If$$\displaystyle \cot A=\frac{12}{5}$$ then the value of$$\displaystyle \left ( \sin A+\cos A \right )$$ $$\displaystyle \times cosec$$ $$\displaystyle A$$ is
Question 5 :
$$\tan \theta$$ increases as $$\theta$$ increases.<br/>If true then enter $$1$$ and if false then enter $$0$$.<br/>
Question 9 :
As value of $$x$$ increases from $$0$$ to $$\cfrac{\pi}{2}$$, the value of $$\cos {x}$$:
Question 10 :
If $$3\sin\theta + 5 \cos\theta =5$$, then the value of $$5\sin\theta -3 \cos\theta $$ are 
Question 11 :
If $$\displaystyle \tan { \theta  } =\frac { 1 }{ 2 } $$ and $$\displaystyle \tan { \phi  } =\frac { 1 }{ 3 } $$, then the value of $$\displaystyle \theta +\phi $$ is:
Question 12 :
The angle of elevation and angle of depression both are measured with
Question 13 :
If $$\tan \theta = \dfrac {4}{3}$$ then $$\cos \theta$$ will be
Question 14 :
If $$ \alpha \epsilon \left[ \frac { \pi  }{ 2 } ,\pi  \right] $$ then the value of $$\sqrt { 1+sin\alpha  } -\sqrt { 1-sin\alpha  } $$ is equal to
Question 15 :
Value of $${ cos }^{ 2 }{ 135 }^{ \circ  }$$
Question 16 :
Choose and write the correct alternative.<br>If $$3 \sin \theta = 4 \cos \theta$$ then $$\cot \theta = ?$$<br>
Question 18 :
Eliminate $$\theta$$ and find a relation in x, y, a and b for the following question.<br/>If $$x = a sec \theta$$ and $$y = a tan \theta$$, find the value of $$x^2 - y^2$$.
Question 20 :
Solve:$$\displaystyle \sin ^{4}\theta +2\cos ^{2}\theta \left ( 1-\frac{1}{\sec ^{2}\theta } \right )+\cos ^{4}\theta $$
Question 22 :
If $$sin({ 90 }^{ 0 }-\theta )=\dfrac { 3 }{ 7 } $$, then $$cos\theta $$
Question 23 :
If $$\sin \theta + \cos\theta = 1$$, then what is the value of $$\sin\theta \cos\theta$$?
Question 24 :
The given expression is $$\displaystyle \sin { \theta  } \cos { \left( { 90 }^{ o }-\theta  \right)  } +\cos { \theta  } \sin { \left( { 90 }^{ o }-\theta  \right)  } +4 $$ equal to :<br/>
Question 25 :
Select and wire the correct answer from the given alternatives. <br/>$$\cos \left(\dfrac {3\pi}{2}+\theta \right)=$$ ____
Question 28 :
Maximum value of the expression $$\begin{vmatrix} 1+{\sin}^{2}x & {\cos}^{2}x & 4\sin2x \\ {\sin}^{2}x & 1+{\cos}^{2}x & 4\sin2x \\ {\sin}^{2}x & {\cos}^{2}x & 1+4\sin2x \end{vmatrix}=$$
Question 29 :
If $$A+B+C=\dfrac { 3\pi }{ 2 } $$, then $$cos2A+cos2B+cos2C$$ is equal to
Question 30 :
The expression$$ \displaystyle \left (\tan \Theta +sec\Theta \right )^{2} $$ is equal to
Question 31 :
Find the value of $${k}$$ for which $$(\cos x+\sin x)^{2}+k\sin x\cos x-1=0$$ is an identity.<br/>
Question 32 :
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 33 :
If$$\displaystyle 5\tan { \theta } =4$$, find the value of$$\displaystyle \frac { 5\sin { \theta } -3\cos { \theta } }{ 5\sin { \theta } +2\cos { \theta } }$$
Question 34 :
The value of $$\displaystyle \sec { { 41 }^{ o } } \sin { { 49 }^{ o }+ } \cos { { 49 }^{ o } } \text{cosec }{ 41 }^{ o }$$ is :
Question 35 :
If $$\alpha, \beta$$ are the different values of  $$3\cos \theta+4\sin \theta=\dfrac{9}{2}$$ and $$A=\tan\left(\dfrac{\alpha}{2}+\dfrac{\beta}{2}\right), B=\tan\dfrac{\alpha}{2}\tan\dfrac{\beta}{2}, C=\sin(\alpha+\beta),$$ then which one of the option is true?
Question 36 :
If $$\sin \theta + \cos \theta = \sqrt {2}$$, find the value of $$\sin \theta \times \cos \theta$$.
Question 39 :
If $$\displaystyle 7\sin ^{2}\theta +3\cos ^{2}\theta =4$$ then the value of$$\displaystyle \tan \theta $$ is
Question 40 :
If $$sin x cos y=\dfrac 14$$ and $$3 tan x=4 tan y$$, then $$sin(x+y)$$ is equal to