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Trigonometry

Unit 5

Nov 24, 7:00 PM

50 minutes

Nov 25, 7:00 PM

80.0 marks

MCQ

40 questions

Neetesh Mishra

Teacher

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Shraddha Classes

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inztamain-Chapter 6- Tria-f01168.pdf

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Question Text

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

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

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

Question 7 :
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 8 :
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 9 :
If $sin({ 90 }^{ 0 }-\theta )=\dfrac { 3 }{ 7 } $, then $cos\theta $

Question 11 :
The value of $\sqrt { 3 } \sin { x } +\cos { x } $ is max. when $x$ is equal to

Question 12 :
Choose the correct option. Justify your choice. $\displaystyle 9{ \sec }^{ 2 }A-9{ \tan }^{ 2 }A=$

Question 13 :
If $3\sin\theta + 5 \cos\theta =5$, then the value of $5\sin\theta -3 \cos\theta $ are 

Question 16 :
Given $tan \theta = 1$, which of the following is not equal to tan $\theta$?

Question 17 :
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 19 :
IF $ \displaystyle \tan \theta =\sqrt{2}    $ , then the value of $ \displaystyle \theta     $ is 

Question 22 :
The value of $\displaystyle \sec { { 41 }^{ o } } \sin { { 49 }^{ o }+ } \cos { { 49 }^{ o } } \text{cosec }{ 41 }^{ o }$ is :

Question 23 :
If $\displaystyle 7\sin ^{2}\theta +3\cos ^{2}\theta =4$ then the value of$\displaystyle \tan \theta $ is

Question 24 :
$\dfrac {\cos (90 -\theta) \sec (90 - \theta)\tan \theta}{\text{cosec } (90 - \theta)\sin (90 - \theta) \cot (90 - \theta)} + \dfrac {\tan (90 - \theta)}{\cot \theta} = ......$

Question 25 :
Evaluate: $\displaystyle \sin { { 40 }^{ o } } .\sec{ { 50 }^{ o } }-\cfrac { \tan { { 40 }^{ o } }  }{ \cot { { 50 }^{ o } }  } +1$

Question 26 :
The value of $\displaystyle \frac { 2\cos { { 67 }^{ o } }  }{ \sin { { 23 }^{ o } }  } -\frac { \tan { { 40 }^{ o } }  }{ \cot { { 50 }^{ o } }  } -\sin { { 90 }^{ o } } $ is :

Question 27 :
The valueof $\sin 20 ^ { \circ } \sin40 ^ { 0 } \sin 60 ^ { \circ } \sin100 ^ { 0 }$ is equal to

Question 29 :
If $\sin A, \cos A$ and $\tan A$ are in Geometric progression, then $\cot^6A-\cot^2 A$ is

Question 30 :
The value of $\displaystyle \frac{\sin ^{3}\theta +\cos ^{3}\theta }{\sin \theta +\cos \theta }+\frac{\left ( \cos ^{3}\theta -\sin ^{3}\theta  \right )}{\cos \theta -\sin \theta }$

Question 31 :
If $\sin (\alpha+\beta)=1$ and $\sin(\alpha -\beta)=1/2$ where $\alpha, \beta \epsilon [0, \pi /2]$ then

Question 32 :
If $16\cot \theta = 12$, then $\dfrac {\sin \theta - \cos \theta}{\sin \theta + \cos \theta} = $ _____

Question 34 :
If $\cos9 \alpha= \sin \alpha$ and $9 \alpha < 90^{0}$, then the value of $\tan5 \alpha$ is

Question 35 :
If $\text{cosec } \theta = \dfrac {13}{5}$, then $\cos \theta = ......$

Question 37 :
If $x \cos \alpha +y \sin \alpha=x \cos\beta+y \sin\beta=2a(0 < \alpha, \beta < \pi /2)$, then

Question 40 :
If $\sin A, \cos A$ and $\tan A$ are in G.P. then $\cot^6 A- \cot^2A$ is equal to

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