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Mathematics
List of top Mathematics Questions on Trigonometric Identities
If sinα = cosα, then the value of α is
AP POLYCET - 2021
AP POLYCET
Mathematics
Trigonometric Identities
The value of cos1°cos 2°…… cos180° is
AP POLYCET - 2020
AP POLYCET
Mathematics
Trigonometric Identities
If tan A + cot A = 2, then the value of tan
4
A + cot
4
A =
KCET - 2020
KCET
Mathematics
Trigonometric Identities
The value of
\(\cos(\sin^{-1}\frac{\pi}{3}+\cos^{-1}\frac{\pi}{3})\)
is
KCET - 2020
KCET
Mathematics
Trigonometric Identities
If the angle of elevation of a cloud from a point
$P$
which is
$25\, m$
above a lake be
$30^\circ$
and the angle of depression of reflection of the cloud in the lake from
$P$
be
$60^\circ$
, then the height of the cloud (in meters) from the surface of the lake is :
JEE Main - 2019
JEE Main
Mathematics
Trigonometric Identities
Given
$\frac{b+c}{11} = \frac{c+a}{12}= \frac{a+b}{13} $
for a
$ \Delta ABC$
with usual notation. If
$ \frac{\cos A}{\alpha} = \frac{\cos B}{\beta} = \frac{\cos C}{\gamma} $
, then the ordered triad
$( \alpha, \beta, \gamma)$
has a value :
JEE Main - 2019
JEE Main
Mathematics
Trigonometric Identities
If
\(\cos^ 4\theta - \sin^ 4\theta = \frac{1}{2}\)
,then
\(θ=\)
AP POLYCET - 2019
AP POLYCET
Mathematics
Trigonometric Identities
A solution of
\(2\cos^2 x - 3\cos x + 1 = 0\)
is
AP POLYCET - 2019
AP POLYCET
Mathematics
Trigonometric Identities
The value of
\((1 + \cos x)(1 + \cot^2 x)(1 - \cos x)\)
=
AP POLYCET - 2019
AP POLYCET
Mathematics
Trigonometric Identities
In a
\(\Delta ABC\)
. with usual notation, match the items in List - I with the items in List - II and choose the correct option.
List I
List II
(A)
\(r_1r_2\sqrt{\bigg(\frac{4R-r_1-r_2}{r_1+r_2}\bigg)}\)
1
\(b\)
(B)
\(\frac{r_2(r_3+r_1)}{\sqrt{r_1r_2+r_2r_3+r_3r_1}}\)
2
\(a^2,b^2,c^2 are \;in \;AP\)
(C)
\(\frac{a}{c}=\frac{sin(A-B)}{sin(B-C)}\)
3
\(\triangle\)
(D)
\(bc\;cos^2\frac{A}{2}\)
4
\(R\; r_1r_2r_3\)
5
\(s(s-a)\)
JEE Main - 2019
JEE Main
Mathematics
Trigonometric Identities
A man on the top of a vertical tower observes a car moving at a uniform speed towards the tower on a horizontal road. If it takes 18 min. for the angle of depression of the car to change from
$30^{\circ}$
to
$45^{\circ}$
; then after this, the time taken (in min.) by the car to reach the foot of the tower, is :
JEE Main - 2018
JEE Main
Mathematics
Trigonometric Identities
If $2 \sin \left( \theta + \frac{\pi}{3}\right) = \cos \left( \theta -\frac{\pi}{6}\right) , $ then $\tan \, \theta = $
MHT CET - 2018
MHT CET
Mathematics
Trigonometric Identities
In $\Delta ABC. a^3 . \cos (B - C) + b^3 . \cos(C - A) + c^3 . \cos (A - B) = $
AP EAMCET - 2018
AP EAMCET
Mathematics
Trigonometric Identities
From the top of a lighthouse, the angles of depression of two stations on the oposite sides of it at a distance d apart are
$\alpha$
and
$\beta$
. The height of the lighthouse is
UPSEE - 2018
UPSEE
Mathematics
Trigonometric Identities
If
$(1 + \tan \, 1^{\circ})(1 + \tan \, 2^{\circ}) ...... (1 + \tan \, 45^{\circ}) = 2^n$
, then n is
UPSEE - 2018
UPSEE
Mathematics
Trigonometric Identities
If
$ cot \,(sin^{-1} \,x) = cos (tan^{-1} \sqrt 3) $
, then
$ x = $
JKCET - 2017
JKCET
Mathematics
Trigonometric Identities
For what interval of variation of
$x$
, the identity
$arc \, \cos \frac{1 - x^2}{1 + x^2} = - 2 \, arc \, \tan \, x$
is true ?
UPSEE - 2017
UPSEE
Mathematics
Trigonometric Identities
If $\sin^{-1} \left(\frac{2a}{1+a^{2}}\right) -\cos^{-1} \left(\frac{1-b^{2}}{1+b^{2}}\right) = \tan^{-1} \left(\frac{2x}{1-x^{2}}\right) , $ then what is the value of x?
BITSAT - 2016
BITSAT
Mathematics
Trigonometric Identities
If $\sin^2 \theta + \sin^2 \phi = 1/2, \cos^2 + \cos^2 \phi = 3/2$, then $\cos^2 (\theta - \phi)$ is equal to
BITSAT - 2012
BITSAT
Mathematics
Trigonometric Identities
$\frac{\cos \, x}{\cos \, x -2y} = \lambda \, \Rightarrow \, \tan \, x - y$
is equal to
BITSAT - 2009
BITSAT
Mathematics
Trigonometric Identities
If
$\sec \theta=m$
and
$\tan \theta=n$
, then
$\frac{1}{m}\left[(m+n)+\frac{1}{(m+n)}\right] $
is :
KCET - 2006
KCET
Mathematics
Trigonometric Identities
Let
$\theta \in\Bigg(0,\frac{\pi}{4}\Bigg) and t_1=(tan \theta)^{tan \theta}, t_2=(tan \theta)^{cot \theta},t_3=(cot \theta)^{tan \theta} and t_4=(cot \theta)^{cot \theta}, then$
JEE Advanced - 2006
JEE Advanced
Mathematics
Trigonometric Identities
In a
$\triangle A B C$
if the sides are
$a=3, b=5$
and
$c=4$
, then
$\sin \frac{B}{2}+\cos \frac{B}{2}$
is equal to :
BITSAT - 2006
BITSAT
Mathematics
Trigonometric Identities
In a
$\triangle$
ABC, among the following which one is true?
JEE Advanced - 2005
JEE Advanced
Mathematics
Trigonometric Identities
The area of the equilateral triangle, in which three coins of radius 1 cm are placed, as shown in the figure, is
JEE Advanced - 2005
JEE Advanced
Mathematics
Trigonometric Identities
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