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Recent questions tagged easy
Questions
If $\alpha+\beta=\large\frac{\pi}{2}$ and $\beta+\gamma=\alpha$ then $\tan\alpha$ equals
jeemain
math
class11
ch3
trigonometric-functions
q75
trignometric-identities
easy
asked
Oct 10, 2013
by
sreemathi.v
1
answer
If $\large\frac{2\sin\alpha}{1+\cos\alpha+\sin\alpha}$$=x$ then $\large\frac{1-\cos\alpha+\sin\alpha}{1+\sin\alpha}$=?
jeemain
math
class11
ch3
trigonometric-functions
q74
trignometric-identities
easy
asked
Oct 10, 2013
by
sreemathi.v
1
answer
Which of the following number is/are rational?
jeemain
math
unit15
trigonometric-functions
q73
angles
easy
asked
Oct 10, 2013
by
sreemathi.v
1
answer
Let $\theta\in \big(0,\large\frac{\pi}{4}\big)$ and $t_1=(\tan\theta)^{\large\tan\theta}$,$t_2=(\tan\theta)^{\large\cot\theta}$,$t_3=(\cot\theta)^{\large\tan\theta},t_4=(\cot\theta)^{\large \cot\theta}$ then
jeemain
math
class11
ch3
trigonometric-functions
q72
basic-trigonometric-functions
easy
asked
Oct 10, 2013
by
sreemathi.v
1
answer
The number of solutions of the pair of equations $2\sin^2\theta-\cos 2\theta=0,2\cos^2\theta-3\sin\theta=0$.In the interval $[0,2\pi]$ is
jeemain
math
class11
ch3
trigonometric-functions
q71
trignometric-equations
easy
asked
Oct 10, 2013
by
sreemathi.v
1
answer
In $\Delta ABC$ if $\large\frac{1}{b+c}+\frac{1}{c+a}=\frac{3}{a+b+c}$ then $c$ is equal to
jeemain
math
class11
ch3
trigonometric-functions
q70
trignometric-identities
easy
asked
Oct 10, 2013
by
sreemathi.v
1
answer
In a $\Delta$le ABC let $\angle C=\large\frac{\pi}{2}$ if $r$ is the radius and R is the circumference of the $\Delta$le ABC then $2(r+R)$ equals
jeemain
math
class11
ch3
trigonometric-functions
q69
trignometric-identities
easy
asked
Oct 10, 2013
by
sreemathi.v
1
answer
If the angles $A,B,C$ of a $\Delta$le are in arithmetic progression and if $a,b$ and $c$ denote the lengths of the sides opposite to $A,B$ and $C$ respectively,then the value of the expression $\large\frac{a}{c}$$\sin 2C+\large\frac{c}{a}$$\sin 2A$ is
jeemain
math
class11
ch3
trigonometric-functions
q68
trignometric-identities
easy
asked
Oct 10, 2013
by
sreemathi.v
1
answer
Find the area of the $\Delta$ if $a=18,b=24,c=30$
jeemain
math
class11
ch3
trigonometric-functions
q67
trignometric-identities
easy
asked
Oct 10, 2013
by
sreemathi.v
1
answer
The maximum value of $3\cos\theta+4\sin\theta$ is
jeemain
math
class11
ch3
trigonometric-functions
q66
trignometric-equations
easy
asked
Oct 10, 2013
by
sreemathi.v
1
answer
In $\Delta ABC$ $a=3,b=5,c=6$ find the value of $\sin\large\frac{A}{2}$
jeemain
math
class11
ch3
trigonometric-functions
q65
trignometric-identities
easy
asked
Oct 10, 2013
by
sreemathi.v
1
answer
Evaluate $\sin^2\large\frac{\pi}{8}+$$\sin^2\large\frac{3\pi}{8}$$+\sin^2\large\frac{5\pi}{8}$$+\sin^2\large\frac{7\pi}{8}$
jeemain
math
class11
ch3
trigonometric-functions
q64
angles
easy
asked
Oct 10, 2013
by
sreemathi.v
1
answer
If $\large\frac{x}{\cos\theta}=\frac{y}{\cos(\theta+\large\frac{2\pi}{3})}=\frac{z}{\cos(\theta-\large\frac{2\pi}{3})}$ then $x+y+z$ is equal to
jeemain
math
class11
ch3
trigonometric-functions
q63
trignometric-equations
easy
asked
Oct 10, 2013
by
sreemathi.v
1
answer
Find the value of $\tan\large\frac{\pi}{8}$
jeemain
math
class11
ch3
trigonometric-functions
q62
trigonometric-identities
easy
asked
Oct 10, 2013
by
sreemathi.v
1
answer
Evaluate $\sin(1560^{\large\circ})$
jeemain
math
class11
ch3
trigonometric-functions
q61
angles
easy
asked
Oct 9, 2013
by
sreemathi.v
1
answer
$\large\frac{1-\tan^2(45^{\large\circ}-A)}{1+\tan^2(45^{\large\circ}-A)}$ is equal to
jeemain
math
class11
ch3
trigonometric-functions
q60
trignometric-identities
easy
asked
Oct 9, 2013
by
sreemathi.v
1
answer
Find the value of $\tan 22\large\frac{1}{2}^{\large\circ}$
jeemain
math
class11
ch3
trigonometric-functions
q59
trignometric-identities
easy
asked
Oct 9, 2013
by
sreemathi.v
1
answer
A minute hand of a clock is 20cm long.How far does the tip of the hand move in 20 minutes.
jeemain
math
class11
ch3
trigonometric-functions
q58
angles
easy
asked
Oct 9, 2013
by
sreemathi.v
1
answer
Find $\cos 55^{\large\circ}+\cos 65^{\large \circ}+\cos 175^{\large\circ}$
jeemain
math
class11
ch3
trigonometric-functions
q57
angles
easy
asked
Oct 9, 2013
by
sreemathi.v
2
answers
The expression $\tan^2\alpha+\cot^2\alpha$ is
jeemain
math
class11
ch3
trigonometric-functions
q56
trignometric-identities
easy
asked
Oct 9, 2013
by
sreemathi.v
1
answer
Find the value of $\sin(105^{\large\circ})$
jeemain
math
class11
ch3
trigonometric-functions
q55
angles
easy
asked
Oct 9, 2013
by
sreemathi.v
1
answer
The value of $\tan\bigg[\cos^{-1}\big(\large\frac{4}{5}\big)$$+\tan^{-1}\big(\large\frac{2}{3}\big)\bigg]$ is
jeemain
math
class12
ch2
inverse-trigonometric-functions
q54
inverse-trignometric-properties
easy
asked
Oct 9, 2013
by
sreemathi.v
1
answer
If $f(\theta)=(\sin\theta+cosec\theta)^2+(\cos\theta+\sec\theta)^2$ then minimum value of $f(\theta)$ is
jeemain
math
class11
ch3
trigonometric-functions
q53
trignometric-identities
easy
asked
Oct 9, 2013
by
sreemathi.v
1
answer
In a $\Delta ABC$ the value of the expression $cosec A(\sin B\cos C+\cos B\sin C)$ is
jeemain
math
class11
ch3
trigonometric-functions
q52
trignometric-identities
easy
asked
Oct 9, 2013
by
sreemathi.v
1
answer
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
To what depth, relative to the surface does mercury dip down in a capillary tube of radius $1.0 mm$ surface tension $T=0.5 N/m$ density of mercury $=13.6 \times 10^{3}\;kg/m^3$ $\;g=9.8 m/s^2$
jeemain
physics
class11
unit7
properties-of-solids-and-fluids
q47
easy
asked
Oct 8, 2013
by
meena.p
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 energy released when $1000$ small drops each of radius $10^{-7}\;m$ coalesce to from a single big drop is (Surface tension of liquid is $14 \times 10^{-2}\;N/m$)
jeemain
physics
class11
unit7
properties-of-solids-and-fluids
q45
easy
asked
Oct 8, 2013
by
meena.p
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
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