Test Details

Introduction To Trigonometry

Based on MCQ

Dec 03, 5:00 PM

30 minutes

Dec 03, 5:30 PM

50.0 marks

MCQ

50 questions

3076 Ankit Pandey(Gau)

I feel like I'd describe myself as an emotional taco. Hard on the the outside and everything on the inside eventually ends up coming out and making a mess of things.

Class Details

English

10th

English

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Question Text

Question 2 :
The angle of elevation and angle of depression both are measured with

Question 3 :
If $\tan \theta = \dfrac {4}{3}$ then $\cos \theta$ will be

Question 5 :
Find the value of $ \displaystyle  \theta , cos\theta  \sqrt{\sec ^{2}\theta -1}     = 0$

Question 6 :
$\tan \theta$ increases as $\theta$ increases. If true then enter $1$ and if false then enter $0$.

Question 7 :
The value of $\sqrt { 3 } \sin { x } +\cos { x } $ is max. when $x$ is equal to

Question 8 :
Given $tan \theta = 1$, which of the following is not equal to tan $\theta$?

Question 9 :
IF $ \displaystyle \tan \theta =\sqrt{2}    $ , then the value of $ \displaystyle \theta     $ is 

Question 10 :
IF A+B+C=$ \displaystyle 180^{\circ}  $ ,then $  tan A+tanB+tanC $ is equal to

Question 11 :
The given expression is $\displaystyle \sin { \theta  } \cos { \left( { 90 }^{ o }-\theta  \right)  } +\cos { \theta  } \sin { \left( { 90 }^{ o }-\theta  \right)  } +4 $ equal to :

Question 12 :
Solve : $\dfrac { 2tan{ 30 }^{ \circ  } }{ 1+{ tan }^{ 2 }{ 30 }^{ \circ  } } $

Question 13 :
The solution of $(2 cosx-1)(3+2 cosx)=0$ in the interval $0 \leq \theta \leq 2\pi$ is-

Question 14 :
If $\sin \theta + \cos\theta = 1$, then what is the value of $\sin\theta \cos\theta$?

Question 16 :
If $sin({ 90 }^{ 0 }-\theta )=\dfrac { 3 }{ 7 } $, then $cos\theta $

Question 18 :
If $\sec{2A}=\csc{(A-42^\circ)}$ where $2A$ is acute angle then value of $A$ is

Question 20 :
$\left( \dfrac { cosA+cosB }{ sinA-sinB }  \right) ^{ 2014 }+\left( \cfrac { sinA+sinB }{ cosA-cosB }  \right) ^{ 2014 }=...........$

Question 21 :
Value of ${ cos }^{ 2 }{ 135 }^{ \circ  }$

Question 22 :
Which of the following is equal to $\sin x \sec x$?

Question 24 :
find whether ${ \left( \sin { \theta  } +co\sec { \theta  }  \right)  }^{ 2 }+{ \left( \cos { \theta  } +\sec { \theta  }  \right)  }^{ 2 }=7+\tan ^{ 2 }{ \theta  } +\cos ^{ 2 }{ \theta  } $ is true or false.

Question 25 :
If $\displaystyle \tan { \theta  } =\frac { 1 }{ 2 } $ and $\displaystyle \tan { \phi  } =\frac { 1 }{ 3 } $, then the value of $\displaystyle \theta +\phi $ is:

Question 27 :
If $sec\theta -tan\theta =\dfrac{a}{b},$ then the value of $tan\theta $ is

Question 28 :
Find the value of $\sin^3\left( 1099\pi -\dfrac { \pi  }{ 6 }  \right) +\cos^3\left( 50\pi -\dfrac { \pi  }{ 3 }  \right) $

Question 31 :
Simplest form of $\displaystyle \dfrac{1}{\sqrt{2 + \sqrt{2 + \sqrt{2 + 2 cos 4x}}}}$ is

Question 33 :
If $\theta$ increases from $0^0$ to $90^o$, then the value of $\cos\theta$:

Question 35 :
Choose the correct option. Justify your choice. $\displaystyle 9{ \sec }^{ 2 }A-9{ \tan }^{ 2 }A=$

Question 36 :
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 37 :
Solve:$\displaystyle \sin ^{4}\theta +2\cos ^{2}\theta \left ( 1-\frac{1}{\sec ^{2}\theta } \right )+\cos ^{4}\theta $

Question 38 :
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 44 :
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 46 :
Choose and write the correct alternative. If $3 \sin \theta = 4 \cos \theta$ then $\cot \theta = ?$

Question 47 :
If $\displaystyle  \cos A+\cos ^2A=1$ then the value of $\displaystyle  \sin ^{2}A+\sin ^{4}A$ is

Question 49 :
Select and wire the correct answer from the given alternatives.  $\cos \left(\dfrac {3\pi}{2}+\theta \right)=$ ____

Question 50 :
If$\displaystyle \cot A=\frac{12}{5}$ then the value of$\displaystyle \left ( \sin A+\cos A \right )$ $\displaystyle \times cosec$ $\displaystyle A$ is

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