Recent questions tagged ch3

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

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

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

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

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

asked Oct 7, 2013 by sreemathi.v

1 answer

The maximum value of $\sin(\cos x)$ is equal to

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

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

asked Oct 7, 2013 by sreemathi.v

1 answer

The minimum value of $\cos(\cos x)$ is

asked Oct 7, 2013 by sreemathi.v

1 answer

The maximum and minimum values of $7\cos\theta+24\sin\theta$ are equal to

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

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

asked Oct 4, 2013 by sreemathi.v

1 answer

The value of $\large\frac{\cos\theta}{1+\sin\theta}$ is equal to

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

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

asked Oct 4, 2013 by sreemathi.v

1 answer

Which one is not periodic

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

asked Oct 4, 2013 by sreemathi.v

1 answer

Let $f(\theta)=\sin \theta(\sin \theta+\sin 3\theta)$.Then $f(\theta)$ is

asked Oct 4, 2013 by sreemathi.v

1 answer

A police jeep is chasing with velocity $45 km/hr$ a thief in another jeep moving with velocity $153\;km/hr$. The police fires a bullet with muzzle velocity 0f $180\; m/s$. The velocity with which it will strike the car of the thief is

asked Jul 3, 2013 by meena.p

1 answer

The figure gives the speed-time graph of the motion of a car. What is the ratio of the distance travelled by car during the last two seconds to total distance travelled in seven seconds

asked Jun 27, 2013 by meena.p

1 answer

A ball is dropped from a certain height on a horizontal floor. The coefficient of restitution between ball and floor is $\large\frac{1}{2}$. The displacement time graph of the ball is

asked Jun 25, 2013 by meena.p

1 answer

Two boys are standing at ends A and B of a ground where AB=a. The boy at B starts running in a direction perpendicular to AB with a velocity v$_1$. The boy at A starts running simultaneously with velocity v and catches the other boy in a boy in a time t. Calculate t in terms of a, v and v$_1$.

asked Jun 21, 2013 by meena.p

1 answer

A particle moves along a semicircle of radius 10 m in 5 seconds. The average velocity of the particle in m/s is?

asked Jun 20, 2013 by meena.p

1 answer

A body covers half of the journey at 40km/hr and seconds half at 60 km/hr speed. Find the average speed of the whole journey

asked Jun 19, 2013 by meena.p

1 answer

Find all the values of $\bigg(\large\frac{1}{2}$$-i\large\frac{\sqrt 3}{2}\bigg)^{\Large\frac{3}{4}}$ and hence prove that the product of the values is 1.

asked Jun 13, 2013 by sreemathi.v

1 answer

Solve : $x^4-x^3+x^2-x+1=0$

asked Jun 13, 2013 by sreemathi.v

1 answer

Solve : $x^4+4=0$

asked Jun 12, 2013 by sreemathi.v

1 answer

Prove that if $\omega^3=1$,then (iii) $\large\frac{1}{1+2\omega}-\frac{1}{1+\omega}+\frac{1}{2+\omega}$$=0$

asked Jun 12, 2013 by sreemathi.v

1 answer

Prove that if $\omega^3=1$,then (ii) $\bigg(\large\frac{-1+i\sqrt 3}{2}\bigg)^5+\bigg(\large\frac{-1-i\sqrt 3}{2}\bigg)^5$$=-1$

asked Jun 12, 2013 by sreemathi.v

1 answer

Prove that if $\omega^3=1$,then (i) $(a+b+c)(a+b\omega+c\omega^2)(a+b\omega^2+c\omega)=a^3+b^3+c^3-3abc$

asked Jun 12, 2013 by sreemathi.v

1 answer

If $x=a+b$,$y=a\omega+b\omega^2,z=a\omega^2+b\omega$ show that (ii) $x^3+y^3+z^3=3(a^3+b^3)$ where $\omega$ is the complex cube root of unity.

asked Jun 12, 2013 by sreemathi.v

1 answer

If $x=a+b$,$y=a\omega+b\omega^2,z=a\omega^2+b\omega$ show that (i) $xyz=a^3+b^3$ where $\omega$ is the complex cube root of unity.

asked Jun 12, 2013 by sreemathi.v

1 answer

Find all the value of the following : $(-\sqrt 3-i)^{\large\frac{2}{3}}$

asked Jun 12, 2013 by sreemathi.v

1 answer

Find all the value of the following : $(8i)^{\large\frac{1}{3}}$

asked Jun 12, 2013 by sreemathi.v

1 answer

Find all the value of the following : $(i)^{\large\frac{1}{3}}$

asked Jun 12, 2013 by sreemathi.v

1 answer

If $\cos \alpha +\cos \beta + \cos \gamma = 0 = \sin \alpha + \sin \beta + \sin \gamma$, prove that $\cos 2\alpha + \cos 2\beta + \cos 2\gamma = 0$

asked Jun 11, 2013 by sreemathi.v

1 answer

If $\cos \alpha +\cos \beta + \cos \gamma = 0 = \sin \alpha + \sin \beta + \sin \gamma$, prove that $\sin 3\alpha + \sin 3\beta + \sin 3\gamma = 3 \sin\left ( \alpha +\beta + \gamma \right )$

asked Jun 11, 2013 by sreemathi.v

1 answer

$P$ represents the variable complex number $z$.Find the locus of $P$,if $arg\bigg(\large\frac{z-1}{z+3}\bigg)=\large\frac{\pi}{2}$

asked Jun 10, 2013 by sreemathi.v

1 answer

$P$ represents the variable complex number $z$.Find the locus of $P$,if $\mid 2z-3\mid=2$

asked Jun 10, 2013 by sreemathi.v

1 answer

$P$ represents the variable complex number $z$.Find the locus of $P$,if $Re\bigg(\large\frac{z-1}{z+i}\bigg)$$=1$

asked Jun 10, 2013 by sreemathi.v

1 answer

$P$ represents the variable complex number $z$.Find the locus of $P$,if $\mid z-5i\mid=\mid z+5i\mid$

asked Jun 10, 2013 by sreemathi.v

1 answer

$P$ represents the variable complex number $z$.Find the locus of $P$,if $Im\bigg[\large\frac{2z+1}{iz+1}\bigg]$$=-2$

asked Jun 10, 2013 by sreemathi.v

1 answer

Prove that the triangle formed by the points representing the complex numbers $(10+8i),(-2+4i)$ and $(-11+31i)$ on the Argand plane is right angled.

asked Jun 10, 2013 by sreemathi.v

1 answer

If $z^2=(0,1)$ find $z$.

asked Jun 7, 2013 by sreemathi.v

1 answer

Find the square root of $(-8-6i)$

asked Jun 7, 2013 by sreemathi.v

1 answer

If $a \; =\; cos \; 2\alpha \; + \; i \; sin \; 2\alpha , \; b \; =\; cos\; 2\beta + i\; sin\; 2\beta\; $ and $\;c\; = \; cos \; 2\gamma\; + \; i sin\; 2\gamma$ prove that $\frac{a^{2}b^{2}+c^{2}}{abc}\; = \; 2\; cos \; 2\left ( \alpha \;+\;\beta \;+\;\gamma \right )$

asked Apr 19, 2013 by geethradh

0 answers

If $a \; =\; cos \; 2\alpha \; + \; i \; sin \; 2\alpha , \; b \; =\; cos\; 2\beta + i\; sin\; 2\beta\; $ and $\;c\; = \; cos \; 2\gamma\; + \; i sin\; 2\gamma$ prove that $\sqrt{abc}\; + \; \frac{1}{\sqrt{abc}}\; = \; 2\; cos\left ( \alpha \;+\;\beta \;+\;\gamma \right )$

asked Apr 19, 2013 by geethradh

0 answers

If $x\;=\cos\;\alpha +i\sin\;\alpha\;;\; y\;= \cos\;\beta + i\sin \;\beta $ prove that $x^{m}y^{n} \;+\large \frac{1}{x^{m}y^{n}}$$= \;2\cos \;\left ( m\alpha + n\beta \right )$

asked Apr 19, 2013 by geethradh

1 answer

If $x+\large\frac{1}{x}$$ =2\cos\;\theta $ and $y+\large\frac{1}{y}$$=2 \cos \;\phi$ show that $\large\frac{x^{m}}{y^{n}} - \frac{y^{n}}{x^{m}}$$ = 2i \;sin\left ( m\theta -n\phi \right )$

asked Apr 19, 2013 by geethradh

1 answer

If $x+\large\frac{1}{x}$$ =2\cos\;\theta $ and $y+\large\frac{1}{y}=$$2 \cos \;\phi$ show that $\large\frac{x^{m}}{y^{n}}+ \frac{y^{n}}{x^{m}} $$= 2 \cos \left ( m\theta -n\phi \right )$

asked Apr 19, 2013 by geethradh

1 answer

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