Test Details

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Trigonometric

Ntse

Dec 13, 8:00 PM

45 minutes

Dec 13, 8:46 PM

50.0 marks

MCQ

50 questions

satyanarayan sir

I am maths faculty (NITian)

Class Details

Maths Ntse

Class 10th

Maths Ntse

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Question Text

Question 2 :
The value of $\sqrt { 3 } \sin { x } +\cos { x } $ is max. when $x$ is equal to

Question 5 :
The value of $[\dfrac{\tan 30^{o}.\sin 60^{o}.\csc 30^{o}}{\sec 0^{o}.\cot 60^{o}.\cos 30^{o}}]^{4}$ is equal to

Question 6 :
Solve:$\displaystyle \sin ^{4}\theta +2\cos ^{2}\theta \left ( 1-\frac{1}{\sec ^{2}\theta } \right )+\cos ^{4}\theta $

Question 7 :
Eliminate $\theta$ and find a relation in x, y, a and b for the following question. If $x = a sec \theta$ and $y = a tan \theta$, find the value of $x^2 - y^2$.

Question 8 :
Find the value of $ \displaystyle  \theta , cos\theta  \sqrt{\sec ^{2}\theta -1}     = 0$

Question 9 :
If $\displaystyle  \cos A+\cos ^2A=1$ then the value of $\displaystyle  \sin ^{2}A+\sin ^{4}A$ is

Question 10 :
If $A+B+C=\dfrac { 3\pi }{ 2 } $, then $cos2A+cos2B+cos2C$ is equal to

Question 14 :
If $sec\theta -tan\theta =\dfrac{a}{b},$ then the value of $tan\theta $ is

Question 15 :
The expression$ \displaystyle \left (\tan \Theta +sec\Theta \right )^{2} $ is equal to

Question 18 :
Choose the correct option. Justify your choice. $\displaystyle 9{ \sec }^{ 2 }A-9{ \tan }^{ 2 }A=$

Question 19 :
Given $tan \theta = 1$, which of the following is not equal to tan $\theta$?

Question 20 :
Given $\cos \theta = \dfrac{\sqrt3}{2}$, which of the following are the possible values of  $\sin 2 \theta$?

Question 21 :
If $\displaystyle x=y\sin \theta \cos \phi ,y=\gamma \sin \theta \sin \phi ,z=\gamma \cos \theta $. Eliminate  $\displaystyle \theta $ and  $\displaystyle \phi $

Question 22 :
Find the value of $\sin^3\left( 1099\pi -\dfrac { \pi  }{ 6 }  \right) +\cos^3\left( 50\pi -\dfrac { \pi  }{ 3 }  \right) $

Question 23 :
The angle of elevation and angle of depression both are measured with

Question 26 :
Which of the following is equal to $\sin x \sec x$?

Question 30 :
IF A+B+C=$ \displaystyle 180^{\circ}  $ ,then $  tan A+tanB+tanC $ is equal to

Question 31 :
Select and wire the correct answer from the given alternatives.  $\cos \left(\dfrac {3\pi}{2}+\theta \right)=$ ____

Question 32 :
The given relation is $(1 + \tan a + \cos a)(\sin a - \cos a )= 2\sin a\tan a - cat\,a\cos a$

Question 34 :
Express$\displaystyle \cos { { 79 }^{ o } } +\sec { { 79 }^{ o } }$ in terms of angles between$\displaystyle { 0 }^{ o }$ and$\displaystyle { 45 }^{ o }$

Question 35 :
If $\sin \theta + \cos\theta = 1$, then what is the value of $\sin\theta \cos\theta$?

Question 36 :
Solve : $\dfrac { 2tan{ 30 }^{ \circ  } }{ 1+{ tan }^{ 2 }{ 30 }^{ \circ  } } $

Question 37 :
Select and wire the correct answer from the given alternatives.  $\cos \left(\dfrac {3\pi}{2}+\theta \right)=$ ____

Question 38 :
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 42 :
Value of ${ cos }^{ 2 }{ 135 }^{ \circ  }$

Question 43 :
Choose and write the correct alternative. If $3 \sin \theta = 4 \cos \theta$ then $\cot \theta = ?$

Question 44 :
As value of $x$ increases from $0$ to $\cfrac{\pi}{2}$, the value of $\cos {x}$:

Question 45 :
$\tan \theta$ increases as $\theta$ increases. If true then enter $1$ and if false then enter $0$.

Question 46 :
The solution of $(2 cosx-1)(3+2 cosx)=0$ in the interval $0 \leq \theta \leq 2\pi$ is-

Question 47 :
If $\displaystyle 5\tan \theta =4$, then find the value of $\displaystyle \frac{5\sin \theta -3\cos \theta }{5\sin \theta +2\cos \theta }$. 

Question 48 :
$\left( \dfrac { cosA+cosB }{ sinA-sinB }  \right) ^{ 2014 }+\left( \cfrac { sinA+sinB }{ cosA-cosB }  \right) ^{ 2014 }=...........$

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