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Recent questions tagged sec-b

Evaluate $\sin x+\sin 3x+\sin 5x+\sin 7x$

asked Apr 18, 2014 by sreemathi.v

1 answer

Prove that $(\cos x-\cos y)^2+(\sin x-\sin y)^2=4\sin^2\large\frac{x-y}{2}$

asked Apr 18, 2014 by sreemathi.v

1 answer

Evaluate: $(\cos x+\cos y)^2+(\sin x-\sin y)^2$

asked Apr 18, 2014 by sreemathi.v

1 answer

Prove that $(\sin 3x+\sin x)\sin x+(\cos 3x-\cos x)\cos x=0$

asked Apr 18, 2014 by sreemathi.v

1 answer

Evaluate:$2\cos\large\frac{\pi}{13}$$\cos \large\frac{9\pi}{13}+$$\cos \large\frac{3\pi}{13}$$+\cos \large\frac{5\pi}{13}$

asked Apr 18, 2014 by sreemathi.v

1 answer

Find the general solution for the equation $\sin x+\sin 3x+\sin 5x=0$

asked Apr 18, 2014 by sreemathi.v

1 answer

Find the general solution for each of the following equation $\sec^22x=1-\tan 2x$

asked Apr 18, 2014 by sreemathi.v

1 answer

Find the general solution for the equation $\sin 2x+\cos x=0$

asked Apr 18, 2014 by sreemathi.v

1 answer

Find the general solution for the equation $\cos 3x+\cos x-\cos 2x=0$

asked Apr 18, 2014 by sreemathi.v

1 answer

Find the general solution for each of the following equation $\cos 4x=\cos 2x$

asked Apr 18, 2014 by sreemathi.v

1 answer

Verify that $(-1,2,1),\:(1,-2,5),\:(4,-7,8)\:and\:(2,-3,4)$ are vertices of a parallelogram.

asked Apr 17, 2014 by rvidyagovindarajan_1

1 answer

Verify that $(0,7,10),\:(-1,6,6)\:and\:(-4,9,6)$ are vertices of a right angled triangle.

asked Apr 17, 2014 by rvidyagovindarajan_1

1 answer

Verify that $(0,7,-10),\:(1,6,-6)\:and\:(4,9,-6)$ are vertices of an isosceles triangle.

asked Apr 17, 2014 by rvidyagovindarajan_1

1 answer

Show that the points $(-2,3,5),\:(1,2,3)\:and\:(7,0,-1)$ are collinear.

asked Apr 17, 2014 by rvidyagovindarajan_1

1 answer

Find the principal and general solution of the following equation $\tan x=\sqrt 3$

asked Apr 17, 2014 by sreemathi.v

1 answer

Prove :$\cos 6x=32\cos ^6x-48\cos^4x+18\cos^2x-1$

asked Apr 17, 2014 by sreemathi.v

1 answer

Prove : $\cos 4x=1-8\sin^2x\cos^2x$

asked Apr 17, 2014 by sreemathi.v

1 answer

Prove : $\tan 4x=\large\frac{4\tan x(1-\tan^2x)}{1-6\tan^2x+\tan^4x}$

asked Apr 17, 2014 by sreemathi.v

1 answer

Prove : $\cot x\cot 2x-\cot 2x\cot 3x-\cot 3x.\cot x$=1

asked Apr 17, 2014 by sreemathi.v

1 answer

Prove $\large\frac{\cos 4x+\cos 3x+\cos 2x}{\sin 4x+\sin 3x+\sin 2x}$$=\cot 3x$

asked Apr 17, 2014 by sreemathi.v

1 answer

Prove : $\large\frac{\sin x-\sin y}{\cos x+\cos y}$$=\tan\large\frac{x-y}{2}$

asked Apr 17, 2014 by sreemathi.v

1 answer

Prove :$\large\frac{\sin 5x+\sin 3x}{\cos 5x+\cos 3x}$$=\tan 4x$

asked Apr 17, 2014 by sreemathi.v

1 answer

Prove : $\large\frac{\cos 9x-\cos 5x}{\sin 17x-\sin 3x}=-\frac{\sin 2x}{\cos 10x}$

asked Apr 17, 2014 by sreemathi.v

1 answer

Prove : $\cot 4x(\sin 5x+\sin 3x)=\cot x(\sin 5x-\sin 3x)$

asked Apr 17, 2014 by sreemathi.v

1 answer

Prove : $\sin 2x+2\sin 4x+\sin 6x=4\cos^2x\sin 4x$

asked Apr 17, 2014 by sreemathi.v

1 answer

Prove : $\cos(\large\frac{3\pi}{4}$$+x)-\cos(\large\frac{3\pi}{4}$$-x)=-\sqrt 2\sin x$

asked Apr 17, 2014 by sreemathi.v

1 answer

Prove : $\sin(n+1)x\sin(n+2)x+\cos(n+1)x\cos(n+2)x=\cos x$

asked Apr 17, 2014 by sreemathi.v

1 answer

$\cos (\large\frac{3\pi}{2}+$$x)\cos(2\pi+x)[\cot(\large\frac{3\pi}{2}$$-x)+\cot(2\pi+x)]=1$

asked Apr 17, 2014 by sreemathi.v

1 answer

Prove : $\cos(\large\frac{\pi}{4}$$-x)\cos (\large\frac{\pi}{4}$$-y)-\sin(\large\frac{\pi}{4}$$-x)\sin (\large\frac{\pi}{4}$$-y)=\sin (x+y)$

asked Apr 17, 2014 by sreemathi.v

1 answer

Prove : $2\sin ^2\large\frac{3\pi}{4}$$+2\cos^2\large\frac{\pi}{4}$$+2\sec^2\large\frac{\pi}{3}$$=10$

asked Apr 17, 2014 by sreemathi.v

1 answer

Prove : $\cot^2\large\frac{\pi}{6}$$+cosec \large\frac{5\pi}{6}$$+3\tan^2\large\frac{\pi}{6}$$=6$

asked Apr 17, 2014 by sreemathi.v

1 answer

Prove : $2\sin^2\large\frac{\pi}{6}+$$cosec ^2\large\frac{7\pi}{6}$$\cos^2\large\frac{\pi}{3}=\large\frac{3}{2}$

asked Apr 17, 2014 by sreemathi.v

1 answer

Prove : $\sin^2\large\frac{\pi}{6}$$+\cos^2\large\frac{\pi}{3}$$-\tan^2\large\frac{\pi}{4}=-\frac{1}{2}$

asked Apr 17, 2014 by sreemathi.v

1 answer

Find the values of other five trignometric function $\tan x=\large\frac{-5}{12}$,$x$ lies in the second quadrant

asked Apr 17, 2014 by sreemathi.v

1 answer

Find the values of other five trignometric function $\sec x=\large\frac{13}{5}$,$x$ lies in the fourth quadrant

asked Apr 16, 2014 by sreemathi.v

1 answer

Find the values of other five trignometric function $\cot x=\large\frac{3}{4}$,$x$ lies in the third quadrant

asked Apr 16, 2014 by sreemathi.v

1 answer

Find the values of other five trignometric function $\sin x=\large\frac{3}{5}$,$x$ lies in the second quadrant

asked Apr 16, 2014 by sreemathi.v

1 answer

Find the values of other five trignometric function $\cos x=-\large\frac{1}{2}$,$x$ lies in the third quadrant

asked Apr 16, 2014 by sreemathi.v

1 answer

If in two circles arcs of the same length subtend angles $60^{\large\circ}$ and $75^{\large\circ}$ at the centre,find the ratio of their radii

asked Apr 16, 2014 by sreemathi.v

1 answer

In a circle of diameter 40cm,the length of a chord is 20cm.Find the length of the minor arc of the chord

asked Apr 16, 2014 by sreemathi.v

1 answer

Find the degree measures of the angle subtended at the centre of a circle of radius 100cm by an arc of length 22cm (use $\pi=\large\frac{22}{7})$

asked Apr 16, 2014 by sreemathi.v

1 answer

If $\;a+ib =\large\frac{(x+i)^{2}}{2x^{2}+1}\;$ , find $\;a^{2} +b^{2}$

asked Apr 11, 2014 by yamini.v

1 answer

If $ x\sqrt{1+y}+y\sqrt{1+x}=0,\normalsize\; Prove\; that\; \Large\frac{dy}{dx}=\frac{-1}{(1+x)^2}$

asked Jan 28, 2013 by meena.p

1 answer

If $ y=\sqrt{x^2-1} - log \bigg(\Large\frac{1}{x}+\sqrt{1+\frac{1}{x^2}}\bigg),\;\normalsize find\;\Large\frac{dy}{dx}$

asked Jan 28, 2013 by meena.p

1 answer

If $ y^{ \cos x}+(\tan^{-1}x)^y=1,find \Large\frac{dy}{dx}$

asked Jan 28, 2013 by meena.p

1 answer

If $ y=f \bigg(\Large\frac{2x-1}{x^2+1}\bigg)\;\normalsize and\;f' (x)=\sin x^2,\;find\; \Large\frac{dy}{dx}$

asked Jan 28, 2013 by meena.p

1 answer

If $ y=|\cos x|+|\sin x|,\;find\; \Large\frac{dy}{dx}\; \normalsize at\;x=\Large\frac{2\pi}{3}$

asked Jan 28, 2013 by meena.p

1 answer

If $ y=\Large\frac{1}{\sqrt{b^2-a^2}} \normalsize log \bigg[\Large\frac{\sqrt{b+a}+\sqrt{b-a}\tan \frac{x}{2}} {\sqrt{b+a}-\sqrt{b-a}\tan \frac{x}{2}}\bigg]$ prove that $ \Large\frac {dy}{dx}=\frac{\sec^2\frac{x}{2}}{(b+a)-(b-a) \tan^2\frac{x}{2}}$

asked Jan 28, 2013 by meena.p

1 answer

If $ \sqrt { 1-x^2} +\sqrt {1-y^2}=a(x-y),\;prove\;that\;\Large\frac{dy}{dx}=\sqrt{\frac{1-y^2}{1-x^2}}$

asked Jan 25, 2013 by meena.p

1 answer

Find a and b if the function :$ f(x)= \left\{ \begin{array}{1 1} [1+| \sin x | ]^{\Large\frac{a}{\sin |x|}}, & \quad \Large\frac{-\pi}{6}< \normalsize x<0 \\ 6 & \quad ,x=0 \\ e^{\Large\frac{\tan 2x}{\tan 3x}}, & \quad 0<x<\Large\frac{\pi}{6} \end{array} \right. $ is continuous on $\bigg(\Large\frac{-\pi}{6},\frac{\pi}{6}\bigg).$

asked Jan 25, 2013 by meena.p

0 answers

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