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Recent questions tagged trigonometry
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1
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1
NIELIT 2023 Feb Scientist D | Section D | Question: 96
If $\sin x+\sin ^{2} x=1$ then $\cos ^{8} x+2 \cos ^{6} x+\cos ^{4} x$ equals to : $0$ $-1$ $1$ $2$
admin
asked
in
Quantitative Aptitude
Sep 17, 2023
by
admin
235
views
nielit2023feb-scientistd
quantitative-aptitude
trigonometry
0
votes
0
answers
2
Maths
Can anyone please suggest any single resource which has a comprehensive list of Trigonometric Identities which might be useful to solve sums ?? (Inverses, Half angles, Double Angles, Sum rule, Product Rule etc.).
Sunnidhya Roy
asked
in
Mathematical Logic
Dec 20, 2022
by
Sunnidhya Roy
268
views
trigonometry
engineering-mathematics
discrete-mathematics
0
votes
0
answers
3
Best Open Video Playlist for Trigonometry Topic | Quantitative Aptitude
Please list out the best free available video playlist for Trigonometry from Quantitative Aptitude as an answer here (only one playlist per answer). We'll then select the best playlist and add to GO classroom video lists. ... ones are more likely to be selected as best. For the full list of selected videos please see here
makhdoom ghaya
asked
in
Study Resources
Aug 27, 2022
by
makhdoom ghaya
130
views
missing-videos
free-videos
go-classroom
video-links
trigonometry
1
vote
1
answer
4
ISI2014-DCG-54
The number of real roots of the equation $1+\cos ^2x+\cos ^3 x – \cos^4x=5$ is equal to $0$ $1$ $3$ $4$
Arjun
asked
in
Quantitative Aptitude
Sep 23, 2019
by
Arjun
554
views
isi2014-dcg
quantitative-aptitude
trigonometry
roots
1
vote
2
answers
5
ISI2015-MMA-13
The number of real roots of the equation $2 \cos \left( \frac{x^2+x}{6} \right) = 2^x +2^{-x} \text{ is }$ $0$ $1$ $2$ infinitely many
Arjun
asked
in
Quantitative Aptitude
Sep 23, 2019
by
Arjun
778
views
isi2015-mma
quantitative-aptitude
quadratic-equations
trigonometry
1
vote
2
answers
6
ISI2015-MMA-27
Let $\cos ^6 \theta = a_6 \cos 6 \theta + a_5 \cos 5 \theta + a_4 \cos 4 \theta + a_3 \cos 3 \theta + a_2 \cos 2 \theta + a_1 \cos \theta +a_0$. Then $a_0$ is $0$ $1/32$ $15/32$ $10/32$
Arjun
asked
in
Quantitative Aptitude
Sep 23, 2019
by
Arjun
615
views
isi2015-mma
quantitative-aptitude
trigonometry
non-gate
0
votes
1
answer
7
ISI2015-MMA-34
If $f(x) = \dfrac{\sqrt{3}\sin x}{2+\cos x}$, then the range of $f(x)$ is the interval $[-1, \sqrt{3}/2]$ the interval $[- \sqrt{3}/2, 1]$ the interval $[-1, 1]$ none of the above
Arjun
asked
in
Calculus
Sep 23, 2019
by
Arjun
576
views
isi2015-mma
calculus
functions
range
trigonometry
non-gate
0
votes
0
answers
8
ISI2015-MMA-35
If $f(x)=x^2$ and $g(x)= x \sin x + \cos x$ then $f$ and $g$ agree at no points $f$ and $g$ agree at exactly one point $f$ and $g$ agree at exactly two points $f$ and $g$ agree at more than two points
Arjun
asked
in
Geometry
Sep 23, 2019
by
Arjun
423
views
isi2015-mma
trigonometry
non-gate
0
votes
1
answer
9
ISI2015-MMA-49
The polar equation $r=a \cos \theta$ represents a spiral a parabola a circle none of the above
Arjun
asked
in
Geometry
Sep 23, 2019
by
Arjun
444
views
isi2015-mma
trigonometry
non-gate
0
votes
0
answers
10
ISI2015-MMA-64
Let the position of a particle in three dimensional space at time $t$ be $(t, \cos t, \sin t)$. Then the length of the path traversed by the particle between the times $t=0$ and $t=2 \pi$ is $2 \pi$ $2 \sqrt{2 \pi}$ $\sqrt{2 \pi}$ none of the above
Arjun
asked
in
Geometry
Sep 23, 2019
by
Arjun
438
views
isi2015-mma
trigonometry
curves
non-gate
0
votes
0
answers
11
ISI2015-MMA-66
The smallest positive number $K$ for which the inequality $\mid \sin ^2 x – \sin ^2 y \mid \leq K \mid x-y \mid$ holds for all $x$ and $y$ is $2$ $1$ $\frac{\pi}{2}$ there is no smallest positive value of $K$; any $K>0$ will make the inequality hold.
Arjun
asked
in
Others
Sep 23, 2019
by
Arjun
464
views
isi2015-mma
inequality
trigonometry
non-gate
0
votes
1
answer
12
ISI2015-MMA-86
The coordinates of a moving point $P$ satisfy the equations $\frac{dx}{dt} = \tan x, \:\:\:\: \frac{dy}{dt}=-\sin^2x, \:\:\:\:\: t \geq 0.$ If the curve passes through the point $(\pi/2, 0)$ when $t=0$, then the equation of the curve in rectangular co-ordinates is $y=1/2 \cos ^2 x$ $y=\sin 2x$ $y=\cos 2x+1$ $y=\sin ^2 x-1$
Arjun
asked
in
Geometry
Sep 23, 2019
by
Arjun
450
views
isi2015-mma
trigonometry
curves
non-gate
0
votes
2
answers
13
ISI2015-DCG-4
If $\tan x=p+1$ and $\tan y=p-1$, then the value of $2 \cot (x-y)$ is $2p$ $p^2$ $(p+1)(p-1)$ $\frac{2p}{p^2-1}$
gatecse
asked
in
Quantitative Aptitude
Sep 18, 2019
by
gatecse
807
views
isi2015-dcg
quantitative-aptitude
trigonometry
0
votes
0
answers
14
ISI2015-DCG-40
The equations $x=a \cos \theta + b \sin \theta$ and $y=a \sin \theta + b \cos \theta$, $( 0 \leq \theta \leq 2 \pi$ and $a,b$ are arbitrary constants) represent a circle a parabola an ellipse a hyperbola
gatecse
asked
in
Quantitative Aptitude
Sep 18, 2019
by
gatecse
687
views
isi2015-dcg
quantitative-aptitude
trigonometry
geometry
0
votes
1
answer
15
ISI2015-DCG-59
If in a $\Delta ABC$, $\angle B = \frac{2 \pi}{3}$, then $\cos A + \cos C$ lies in $[\:- \sqrt{3}, \sqrt{3}\:]$ $(\: – \sqrt{3}, \sqrt{3}\:]$ $(\:\frac{3}{2}, \sqrt{3}\:)$ $(\:\frac{3}{2}, \sqrt{3}\:]$
gatecse
asked
in
Quantitative Aptitude
Sep 18, 2019
by
gatecse
470
views
isi2015-dcg
quantitative-aptitude
geometry
trigonometry
1
vote
1
answer
16
ISI2015-DCG-61
The value of $\sin^6 \frac{\pi}{81} + \cos^6 \frac{\pi}{81}-1+3 \sin ^2 \frac{\pi}{81} \cos^2 \frac{\pi}{81}$ is $\tan ^6 \frac{\pi}{81}$ $0$ $-1$ None of these
gatecse
asked
in
Quantitative Aptitude
Sep 18, 2019
by
gatecse
276
views
isi2015-dcg
quantitative-aptitude
trigonometry
0
votes
0
answers
17
ISI2015-DCG-62
The number of values of $x$ for which the equation $\cos x = \sqrt{\sin x} – \dfrac{1}{\sqrt{\sin x}}$ is satisfied, is $1$ $2$ $3$ more than $3$
gatecse
asked
in
Quantitative Aptitude
Sep 18, 2019
by
gatecse
207
views
isi2015-dcg
quantitative-aptitude
trigonometry
1
vote
1
answer
18
ISI2015-DCG-63
If $\sin^{-1} \frac{1}{\sqrt{5}}$ and $\cos ^{-1} \frac{3}{\sqrt{10}}$ lie in $\bigg[0, \dfrac{\pi}{2}\bigg]$, their sum is equal to $\frac{\pi}{6}$ $\frac{\pi}{3}$ $ \sin^ {-1}\frac{1}{\sqrt{50}}$ $\frac{\pi}{4}$
gatecse
asked
in
Quantitative Aptitude
Sep 18, 2019
by
gatecse
343
views
isi2015-dcg
quantitative-aptitude
trigonometry
0
votes
2
answers
19
ISI2015-DCG-64
If $\cos 2 \theta = \sqrt{2}(\cos \theta – \sin \theta)$ then $\tan \theta$ equals $1$ $1$ or $-1$ $\frac{1}{\sqrt{2}}, – \frac{1}{\sqrt{2}}$ or $1$ None of these
gatecse
asked
in
Quantitative Aptitude
Sep 18, 2019
by
gatecse
296
views
isi2015-dcg
quantitative-aptitude
trigonometry
2
votes
1
answer
20
ISI2015-DCG-65
The value of $\sin ^2 5^{\circ} + \sin ^2 10^{\circ} + \sin ^2 15^{\circ} + \dots + \sin^2 90^{\circ}$ is $8$ $9$ $9.5$ None of these
gatecse
asked
in
Quantitative Aptitude
Sep 18, 2019
by
gatecse
383
views
isi2015-dcg
quantitative-aptitude
trigonometry
0
votes
1
answer
21
ISI2015-DCG-66
If $\sin(\sin^{-1} \frac{2}{5} + \cos ^{-1} x) =1$, then $x$ equals $1$ $\frac{2}{5}$ $\frac{3}{5}$ None of these
gatecse
asked
in
Quantitative Aptitude
Sep 18, 2019
by
gatecse
185
views
isi2015-dcg
quantitative-aptitude
trigonometry
0
votes
2
answers
22
ISI2016-DCG-5
If $\tan\: x=p+1$ and $\tan\; y=p-1,$ then the value of $2\:\cot\:(x-y)$ is $2p$ $p^{2}$ $(p+1)(p-1)$ $\frac{2p}{p^{2}-1}$
gatecse
asked
in
Geometry
Sep 18, 2019
by
gatecse
443
views
isi2016-dcg
trigonometry
non-gate
0
votes
0
answers
23
ISI2016-DCG-40
The equations $x=a\cos\theta+b\sin\theta$ and $y=a\sin\theta+b\cos\theta,(0\leq\theta\leq2\pi$ and $a,b$ are arbitrary constants$)$ represent a circle a parabola an ellipse a hyperbola
gatecse
asked
in
Geometry
Sep 18, 2019
by
gatecse
281
views
isi2016-dcg
trigonometry
curves
non-gate
0
votes
0
answers
24
ISI2016-DCG-59
If in a $\triangle ABC,\angle B=\dfrac{2\pi}{3},$ then $\cos A+\cos C$ lies in $\left[\:-\sqrt{3},\sqrt{3}\:\right]$ $\left(\:-\sqrt{3},\sqrt{3}\:\right]$ $\left(\:\frac{3}{2},\sqrt{3}\:\right)$ $\left(\:\frac{3}{2},\sqrt{3}\:\right]$
gatecse
asked
in
Geometry
Sep 18, 2019
by
gatecse
342
views
isi2016-dcg
geometry
triangles
trigonometry
non-gate
0
votes
1
answer
25
ISI2016-DCG-61
The value of $\sin^{6}\frac{\pi}{81}+\cos^{6}\frac{\pi}{81}-1+3\sin^{2}\frac{\pi}{81}\:\cos^{2}\frac{\pi}{81}$ is $\tan^{6}\frac{\pi}{81}$ $0$ $-1$ None of these
gatecse
asked
in
Geometry
Sep 18, 2019
by
gatecse
245
views
isi2016-dcg
trigonometry
non-gate
0
votes
0
answers
26
ISI2016-DCG-62
The number of values of $x$ for which the equation $\cos x=\sqrt{\sin x}-\frac{1}{\sqrt{\sin x}}$ is satisfied is $1$ $2$ $3$ more than $3$
gatecse
asked
in
Geometry
Sep 18, 2019
by
gatecse
181
views
isi2016-dcg
trigonometry
non-gate
0
votes
1
answer
27
ISI2016-DCG-63
If $\sin^{-1}\frac{1}{\sqrt{5}}$ and $\cos^{-1}\frac{3}{\sqrt{10}}$ lie in $\left[0,\frac{\pi}{2}\right],$ their sum is equal to $\frac{\pi}{6}$ $\frac{\pi}{3}$ $\sin^{-1}\frac{1}{\sqrt{50}}$ $\frac{\pi}{4}$
gatecse
asked
in
Geometry
Sep 18, 2019
by
gatecse
374
views
isi2016-dcg
trigonometry
non-gate
0
votes
1
answer
28
ISI2016-DCG-64
If $\cos2\theta=\sqrt{2}(\cos\theta-\sin\theta)$ then $\tan\theta$ equals $1$ $1$ or $-1$ $\frac{1}{\sqrt{2}},-\frac{1}{\sqrt{2}}$ or $1$ None of these
gatecse
asked
in
Geometry
Sep 18, 2019
by
gatecse
282
views
isi2016-dcg
trigonometry
non-gate
1
vote
2
answers
29
ISI2016-DCG-65
The value of $\sin^{2}5^{\circ}+\sin^{2}10^{\circ}+\sin^{2}15^{\circ}+\cdots+\sin^{2}90^{\circ}$ is $8$ $9$ $9.5$ None of these
gatecse
asked
in
Geometry
Sep 18, 2019
by
gatecse
328
views
isi2016-dcg
trigonometry
non-gate
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