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Recent questions tagged trigonometry

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NIELIT 2022 Feb Scientist D - Section D: 8
If $\{ (2 \sin \theta – \cos \theta) / (\cos \theta + \sin \theta) \} = 1,$ then the value of $\tan \theta$ is : $\frac{1}{3}$ $\frac{1}{2}$ $2$ $3$

Lakshman Bhaiya asked in Quantitative Aptitude Jul 22, 2022

by Lakshman Bhaiya

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NIELIT 2022 Feb Scientist D - Section D: 10
If $\sin 3A = \cos (A – 26^{\circ}),$ where $3A$ is an acute angle then the value of $A$ is : $29^{\circ}$ $31^{\circ}$ $39^{\circ}$ $23^{\circ}$

Lakshman Bhaiya asked in Quantitative Aptitude Jul 22, 2022

by Lakshman Bhaiya

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NIELIT 2022 Feb Scientist D - Section D: 22
If $\sec \theta + \tan \theta = \sqrt{3},$ then the positive value of $\sin \theta$ is : $\frac{\sqrt{3}}{2}$ $\frac{1}{2}$ $\frac{1}{\sqrt{3}}$ $\sqrt{3}$

Lakshman Bhaiya asked in Quantitative Aptitude Jul 22, 2022

by Lakshman Bhaiya

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4

NIELIT 2019 Feb Scientist D - Section D: 17
If $ \ Sinx+Sin^{2} x=1$ then $ \ Cos^{8}x+ 2 \ Cos^{6} x+ \ Cos^{4} x$ equals to : $0$ $-1$ $1$ $2$

Lakshman Bhaiya asked in Quantitative Aptitude Apr 3, 2020

by Lakshman Bhaiya

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5

NIELIT 2019 Feb Scientist D - Section D: 24
$ \ Sin^{-1}\left [ \frac{3}{5} \right ] + \tan^{-1}\left [ \frac{1}{7} \right ]=$ $\frac{\pi }{4}$ $\frac{\pi }{2}$ $ \ Cos^ {-1} \frac{4}{5} $ $\pi$

Lakshman Bhaiya asked in Quantitative Aptitude Apr 3, 2020

by Lakshman Bhaiya

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6

NIELIT 2019 Feb Scientist C - Section D: 7
If $\theta$ is an acute angle and $\tan\theta+\cot\theta =2$, Find the value of $\tan ^{7}\theta +\cot ^{7}\theta$. $-2$ $1$ $2$ $0$

Lakshman Bhaiya asked in Quantitative Aptitude Apr 1, 2020

by Lakshman Bhaiya

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NIELIT 2019 Feb Scientist C - Section D: 11
The expressions $\dfrac{\tan A}{1-\cot A}+\dfrac{\cot A}{1-\tan A}$ can be written as: $\sin A \ \cos A+1$ $\sec A \ cosec A+1$ $\tan A+ \cot A+1$ $\sec A +cosec A$

Lakshman Bhaiya asked in Quantitative Aptitude Apr 1, 2020

by Lakshman Bhaiya

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NIELIT 2019 Feb Scientist C - Section D: 8
If $x=\cos1^{\circ} \cdot \cos2^{\circ} \cdot \cos3^{\circ}\dots\cos89^{\circ}$ and $y=\cos2^{\circ}\cos6^{\circ}\cos10^{\circ}\dots\cos86^{\circ}$ then what the integer is nearest to $\dfrac{2}{7}\log _{2} \left( \dfrac{y}{x}\right )$is: $19$ $17$ $15$ $21$

Lakshman Bhaiya asked in Quantitative Aptitude Apr 1, 2020

by Lakshman Bhaiya

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9

NIELIT 2019 Feb Scientist C - Section D: 16
If $cosec\theta-\sin\theta=1$ and $\sec\theta-\cos\theta=m$, then $l^{2}m^{2}(l^{2}+m^{2}+3)$ equals to: $1$ $2$ $2 \sin\theta$ $\sin\theta \cos\theta$

Lakshman Bhaiya asked in Quantitative Aptitude Apr 1, 2020

by Lakshman Bhaiya

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10

CAT 2015 | Question: 100
The angle of elevation of the top of a tower $30$ m high, from two points on the level ground on its opposite sides are $45$ degrees and $60$ degrees. What is the distance between the two points? $30$ $51.96$ $47.32$ $81.96$

go_editor asked in Quantitative Aptitude Mar 9, 2020

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11

CAT 2019 Set-1 | Question: 91
The number of the real roots of the equation $2\cos (x(x+1))=2^{x}+2^{-x}$ is $2$ $1$ infinite $0$

go_editor asked in Quantitative Aptitude Mar 8, 2020

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12

CAT 2003 | Question: 2-86
A car is being driven, in a straight line and at a uniform speed, towards the base of a vertical tower. The top of the tower is observed from the car and, in the process, it takes $10$ minutes for the angle of elevation to change from $45^{\circ}$ to $60^{\circ}$. After how much more time ... ? $5(\sqrt{3} + 1)$ $6(\sqrt{3} + \sqrt{2})$ $7(\sqrt{3} - 1)$ $8(\sqrt{3} - 2)$

go_editor asked in Quantitative Aptitude May 5, 2016

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13

CAT 2001 | Question: 16
A ladder leans against a vertical wall. The top of the ladder is $8$ m above the ground. When the bottom of the ladder is moved $2$ m farther away from the wall, the top of the ladder rests against the foot of the wall. What is the length of the ladder? $10$ m $15$ m $20$ m $17$ m

go_editor asked in Quantitative Aptitude Mar 31, 2016

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14

CAT 2003 | Question: 1-135
A vertical tower $\text{OP}$ stands at the centre $\text{O}$ of a square $\text{ABCD}.$ Let $h$ and $b$ denote the lengths $\text{OP}$ and $\text{AB}$ respectively. Suppose $\measuredangle \text{APB} = 60^{\circ}$. Then the relationship between $h$ and $b$ can be expressed as $2b^2 = h^2$ $2h^2 = b^2$ $3b^2 = 2h^2$ $3h^2 = 2b^2$

go_editor asked in Quantitative Aptitude Feb 9, 2016

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15

CAT 2009 | Question: 17
Two vertical lamp-posts of equal height stand on either side of a road $50$ m wide. At a point $\text{P}$ on the road between them, the elevation of the tops of the lamp-posts are $60^{\circ}$ and $30^{\circ}$. Find the distance of $\text{P}$ from the lamp-post which makes angle of $60^{\circ}$. $25$ m $12.5$ m $16.5$ m $20.5$ m

makhdoom ghaya asked in Quantitative Aptitude Dec 31, 2015

by makhdoom ghaya

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