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Recent questions in Trigonometry
Questions
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JEEMAIN and NEET
>>
Mathematics
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Trigonometry
The value of expression $\large\frac{1-4\sin 10^{\large\circ}\sin 70^{\large\circ}}{2\sin 10^{\large\circ}}$
jeemain
math
class11
ch3
trigonometric-functions
q51
angles
easy
asked
Oct 9, 2013
by
sreemathi.v
1
answer
The value of the expression $(\sqrt 3\sin 75^{\large\circ}-\cos 75^{\large\circ})$ is
jeemain
math
class11
ch3
trigonometric-functions
q50
angles
easy
asked
Oct 9, 2013
by
sreemathi.v
1
answer
If $\alpha\cos^23\theta+\beta\cos^4\theta=16\cos^6\theta+9\cos^2\theta$ is an identity then
jeemain
math
class11
ch3
trigonometric-function
q49
trignometric-identities
easy
asked
Oct 9, 2013
by
sreemathi.v
1
answer
If $\tan\alpha=\large\frac{x}{x+1}$ and $\tan \beta=\large\frac{1}{2x+1}$ then $\alpha+\beta$ is
jeemain
math
class11
ch3
trigonometric-functions
q48
trignometric-identities
easy
asked
Oct 9, 2013
by
sreemathi.v
1
answer
If $\tan x=\large\frac{b}{a}$ then the value of $a\cos 2x+b\sin 2x$ is
jeemain
math
class11
ch3
trigonometric-functions
q47
trignometric-identities
easy
asked
Oct 9, 2013
by
sreemathi.v
1
answer
The value of $\tan 81^{\large \circ}-\tan 63^{\large\circ}-\tan 27^{\large\circ}+\tan 9^{\large \circ}$ is
jeemain
math
class11
ch3
trigonometric-functions
q46
angles
easy
asked
Oct 9, 2013
by
sreemathi.v
1
answer
If $cosec A+\cot A=\large\frac{11}{2}$ then $\tan A$ is
jeemain
math
class11
ch3
trigonometric-functions
q45
trignometric-identities
easy
asked
Oct 9, 2013
by
sreemathi.v
1
answer
$\large\frac{3\cos\theta+\cos 3\theta}{3\sin \theta-\sin 3\theta}$ is equal to
jeemain
math
class11
ch3
trigonometric-functions
q44
trignometric-identities
easy
asked
Oct 9, 2013
by
sreemathi.v
1
answer
The value of $\cos y\cos\big(\large\frac{\pi}{2}$$-x)$$-\cos(\large\frac{\pi}{2}$$-y\big)\cos x+\sin y\cos\big(\large\frac{\pi}{2}-x\big)$$+\cos x.\sin\big(\large\frac{\pi}{2}$$-y\big)$ is zero.If
jeemain
math
class11
ch3
trigonometric-functions
q43
trignometric-equations
easy
asked
Oct 9, 2013
by
sreemathi.v
1
answer
If $\tan\alpha=\large\frac{1}{7}$ and $\sin\beta=\large\frac{1}{\sqrt {10}}$ where $0\;<\alpha,\beta\;<\;\large\frac{\pi}{2}$ then $2\beta$ is equal to:
jeemain
math
class11
ch3
trigonometric-functions
q42
basic-trigonometric-functions
easy
asked
Oct 8, 2013
by
sreemathi.v
1
answer
The value of $\cos 12^{\large\circ}+\cos 84^{\large\circ}+\cos 156^{\circ}+\cos 132^{\large\circ}$ is
jeemain
math
class11
ch3
trigonometric-functions
q41
angles
easy
asked
Oct 8, 2013
by
sreemathi.v
1
answer
$\sin 47^{\circ}+\sin 61^{\circ}-\sin 11^{\circ}-\sin 25^{\circ}$ is equal to
jeemain
math
class11
ch3
trigonometric-functions
q40
angles
easy
asked
Oct 8, 2013
by
sreemathi.v
1
answer
If $\cos(\theta-\alpha)=a$ and $\sin(\theta-\beta)=b$ then $\cos^2(\alpha-\beta)+2ab\sin(\alpha-\beta)$ is equal to
jeemain
math
class11
ch3
trigonometric-functions
q39
trignometric-identities
easy
asked
Oct 8, 2013
by
sreemathi.v
1
answer
If $3\sin 2\theta=2\sin 3\theta$ and $0\;<\;\theta\;<\pi$ then value of $\sin\theta$ is
jeemain
math
class11
ch3
trigonometric-functions
q38
trignometric-identities
easy
asked
Oct 8, 2013
by
sreemathi.v
1
answer
If $\sin B=\large\frac{1}{5}$$\sin(2A+B)$ then $\large\frac{\tan(A+B)}{\tan A}$ is equal to
jeemain
math
class11
ch3
trigonometric-functions
q37
trignometric-identities
easy
asked
Oct 8, 2013
by
sreemathi.v
1
answer
The numerical value of $\tan\large\frac{\pi}{3}$$+2\tan\large\frac{2\pi}{3}$$+4\tan\large\frac{4\pi}{3}$$+8\tan\large\frac{8\pi}{3}$ is equal to
jeemain
math
class11
ch3
trigonometric-functions
q36
trignometric-identities
easy
asked
Oct 8, 2013
by
sreemathi.v
1
answer
A quadratic equation whose roots are $cosec^2\theta$ and $\sec^2\theta$ can be
jeemain
math
class11
ch3
trigonometric-functions
q35
trignometric-identities
easy
asked
Oct 8, 2013
by
sreemathi.v
1
answer
If $\sin\theta+cosec\theta=2$ then $\sin^2\theta+cosec^2\theta$ is equal to
jeemain
math
class11
ch3
trigonometric-functions
q34
trignometric-functions
easy
asked
Oct 8, 2013
by
sreemathi.v
1
answer
If $A$ lies in the third quadrant and $3 \tan A-4=0$ then $5\sin 2A+3\sin A+4\cos A$ is equal to
jeemain
math
class11
ch3
trigonometric-functions
q33
trignometric-functions
easy
asked
Oct 8, 2013
by
sreemathi.v
1
answer
If $\sin\theta_1+\sin\theta_2+\sin\theta_3=3$ then $\cos\theta_1+\cos\theta_2+\cos\theta_3$ is equal to
jeemain
math
class11
ch3
trigonometric-function
q32
trignometric-identies
easy
asked
Oct 8, 2013
by
sreemathi.v
1
answer
If $\sin\alpha=\sin\beta$ and $\cos\alpha=\cos\beta$ then
jeemain
math
class11
ch3
trigonometric-functions
trignometric-identities
q31
easy
asked
Oct 8, 2013
by
sreemathi.v
1
answer
The value of $\theta(0 \;< \theta\;<360^{\circ})$ satisfying $cosec \;\theta-2=0$ are
jeemain
math
class11
ch3
trigonometric-functions
q30
angles
easy
asked
Oct 8, 2013
by
sreemathi.v
1
answer
If $x=y\cos\large\frac{2\pi}{3}$$=z\cos\large\frac{4\pi}{3}$ then $xy+yz+zx$ is equal to
jeemain
math
class11
ch3
trigonometric-function
q29
trignometric-equations
easy
asked
Oct 8, 2013
by
sreemathi.v
1
answer
If $\sin x+\sin^2x=1$ then $\cos^8x+2\cos^6x+\cos^4x$ is equal to
jeemain
math
class11
ch3
trigonometric-functions
q28
trigonometric-identities
easy
asked
Oct 8, 2013
by
sreemathi.v
1
answer
If $\sin x+\sin^2x=1$ then value of $\cos^2x+\cos^4x$ is equal to
jeemain
math
class11
ch3
trigonometric-functions
q27
trigonometric-identities
easy
asked
Oct 8, 2013
by
sreemathi.v
1
answer
$\cos 2^3\large\frac{\pi}{10}$$\cos 2^4\large\frac{\pi}{10}$$\cos 2^5\large\frac{\pi}{10}........$$\cos 2^{10}\large\frac{\pi}{10}$ is equal to
jeemain
math
class11
ch3
trigonometric-functions
q26
trigonometric-identities
easy
asked
Oct 8, 2013
by
sreemathi.v
1
answer
$\sin\large\frac{9\pi}{14}$$\sin\large\frac{11\pi}{14}$$\sin\large\frac{13\pi}{14}$ is equal to
jeemain
math
class11
ch3
trigonometric-functions
q25
trignometric-identities
easy
asked
Oct 7, 2013
by
sreemathi.v
1
answer
Two lines drawn through a point on the circumference of a circle divided the circle into three regions of equal area.Then the angle $\theta$ between the line is given by
jeemain
math
class11
ch3
trigonometric-functions
q24
angles
easy
asked
Oct 7, 2013
by
sreemathi.v
1
answer
The angle between minute hand and hour hand of a clock at "half past 4" equals
jeemain
math
class11
ch3
trigonometric-functions
q23
angles
easy
asked
Oct 7, 2013
by
sreemathi.v
1
answer
If $a\sin\theta+5\cos\theta=5$ then the value of $5\sin\theta-3\cos\theta$ is equal to
jeemain
math
class11
ch3
trigonometric-functions
q22
trignometric-identities
easy
asked
Oct 7, 2013
by
sreemathi.v
1
answer
If $A=\cos^2\theta+\sin^4\theta$ then for all value of $\theta$
jeemain
math
class11
ch3
trigonometric-functions
q21
trignometric-identities
easy
asked
Oct 7, 2013
by
sreemathi.v
1
answer
If $\large\frac{1+\sin 2x}{1-\sin 2x}$$=\cot^2(a+x)$ $\forall x\in R\sim \big(n\pi+\large\frac{\pi}{4}\big)$$ n\in N$ then $'a'$ is equal to
jeemain
math
class11
ch3
trigonometric-functions
q20
trignometric-identities
easy
asked
Oct 7, 2013
by
sreemathi.v
1
answer
If $\sin x+\sin^2 x=1$ then the value of $\cos^2x+3\cos^{10}x+3\cos^8 x+\cos^6x$ is equal to
jeemain
math
class11
ch3
trigonometric-functions
q19
trignometric-identities
easy
asked
Oct 7, 2013
by
sreemathi.v
1
answer
If $\cos x=\large\frac{2\cos y-1}{2-\cos y}$ where $x,y\in (0,\pi)$ then $\tan\large\frac{x}{2}$$.\cot\large\frac{y}{2}$ is equal to
jeemain
math
class11
ch3
trigonometric-functions
q18
trignometric-identities
easy
asked
Oct 7, 2013
by
sreemathi.v
1
answer
If $A+B=\large\frac{\pi}{3}$ where $A,B\in R^+$ then the minimum value of $\sec A+\sec B$ is equal to
jeemain
math
class11
ch3
trigonometric-functions
q17
trignometric-equations
easy
asked
Oct 7, 2013
by
sreemathi.v
1
answer
The numerical value of $\tan 20^{\circ}\tan 80^{\circ}\cot 50^{\circ}$ is equal to
jeemain
math
class11
ch3
trigonometric-functions
q16
angles
easy
asked
Oct 7, 2013
by
sreemathi.v
1
answer
If $\alpha+\beta+\gamma=\pi$ then the value of $\sin^2\alpha+\sin^2\beta-\sin^2\gamma$ is equal to
jeemain
math
class11
ch3
trigonometric-functions
q15
trignometric-identities
easy
asked
Oct 7, 2013
by
sreemathi.v
1
answer
The maximum value of $\sin(\cos x)$ is equal to
jeemain
math
class11
ch3
trigonometric-functions
q14
trignometric-equations
easy
asked
Oct 7, 2013
by
sreemathi.v
1
answer
If in a $\Delta ABC$ $\angle C=90^{\circ}$ then the maximum value of $\sin A\sin B$ is
jeemain
math
class11
ch3
trigonometric-functions
q13
trignometric-identities
easy
asked
Oct 7, 2013
by
sreemathi.v
1
answer
The maximum value of $4\sin^2x+3\cos^2x+\sin\large\frac{x}{2}$$+\cos\large\frac{x}{2}$ is
jeemain
math
class11
ch3
trigonometric-functions
q12
trignometric-equations
easy
asked
Oct 7, 2013
by
sreemathi.v
1
answer
In $\sin x=-\cos^2x$ then $\cos^2x(1+\cos^2x)$ equals
jeemain
math
class11
ch2
trigonometric-functions
q11
trignometric-identities
easy
asked
Oct 7, 2013
by
sreemathi.v
1
answer
The minimum value of $\cos(\cos x)$ is
jeemain
math
class11
ch3
trigonometric-functions
q10
trignometric-equations
easy
asked
Oct 7, 2013
by
sreemathi.v
1
answer
The maximum and minimum values of $7\cos\theta+24\sin\theta$ are equal to
jeemain
math
class11
ch3
trigonometric-functions
q9
angles
easy
asked
Oct 7, 2013
by
sreemathi.v
1
answer
If $\theta=\large\frac{\pi}{2^n+1}$ then $\cos \theta\cos 2\theta\cos 2^2\theta......\cos2^{n-1}\theta$ is equal to
jeemain
math
class11
ch3
trigonometric-functions
q8
basic-trigonometric-functions
easy
asked
Oct 4, 2013
by
sreemathi.v
1
answer
If $\tan^2\theta=2\tan^2\phi+1$ then $\cos 2\theta+\sin^2\phi$ is equal to
jeemain
math
class11
ch3
trigonometric-functions
q7
trigonometric-identities
easy
asked
Oct 4, 2013
by
sreemathi.v
1
answer
The value of $\large\frac{\cos\theta}{1+\sin\theta}$ is equal to
jeemain
math
class11
ch3
trigonometric-functions
q6
trigonometric-identities
easy
asked
Oct 4, 2013
by
sreemathi.v
1
answer
The value of $\sin(n+1)A\sin(n+2)A+\cos(n+1)A\cos(n+2)A$ is equal to
jeemain
math
class11
ch3
trigonometric-functions
q5
angles
easy
asked
Oct 4, 2013
by
sreemathi.v
1
answer
The value of $\cos(45^{\circ}-A)\cos(45^{\circ}-B)-\sin(45^{\circ}-A)\sin(45^{\circ}-B)$ is equal to
jeemain
math
class11
ch3
trigonometric-functions
q4
angles
easy
asked
Oct 4, 2013
by
sreemathi.v
1
answer
Which one is not periodic
jeemain
math
class11
ch3
trigonometric-functions
q3
angles
easy
asked
Oct 4, 2013
by
sreemathi.v
1
answer
The number of solution of $\tan x+\sec x=2\cos x$ in $[0,2\pi]$ is
jeemain
math
class11
ch3
trigonometric-functions
q2
trignometric-equations
easy
asked
Oct 4, 2013
by
sreemathi.v
1
answer
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