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Recent questions tagged sec-c

$\tan A=\large\frac{1}{2}$$,\tan B=\large\frac{1}{3}$,then $\tan (2A+B)$ is equal to

asked Apr 21, 2014 by sreemathi.v

1 answer

The value of $\tan 3A-\tan 2A-\tan A$ is equal to

asked Apr 21, 2014 by sreemathi.v

1 answer

If $\tan\alpha=\large\frac{m}{m+1}$$,\tan \beta=\large\frac{1}{2m+1}$,then $\alpha+\beta$ is equal to

asked Apr 21, 2014 by sreemathi.v

1 answer

Which of the following is correct

asked Apr 21, 2014 by sreemathi.v

0 answers

If $f(x)=\cos^2x+\sec^2x$,then

asked Apr 21, 2014 by sreemathi.v

1 answer

Find the general solution of the equation $\sin x-3\sin 2x+\sin 3x=\cos x-3\cos 2x+\cos 3x$

asked Apr 21, 2014 by sreemathi.v

1 answer

Find the general solution of the equation $5\cos^2\theta+7\sin^2\theta-6=0$

asked Apr 21, 2014 by sreemathi.v

1 answer

Find the value of the expression :$\cos^4\large\frac{\pi}{8}$$+\cos^4\large\frac{3\pi}{8}$$+\cos^4\large\frac{5\pi}{8}$$+\cos^4\large\frac{7\pi}{8}$

asked Apr 21, 2014 by sreemathi.v

1 answer

If $\theta$ lies in the first quadrant and $\cos\theta=\large\frac{8}{17}$,then the value of $\cos(30^{\large\circ}+\theta)+\cos(45^{\large\circ}-\theta)+\cos(120^{\large\circ}-\theta)$ ?

asked Apr 20, 2014 by sreemathi.v

1 answer

If $x=\sec\phi-\tan\phi$ and $y=cosec\phi+\cot \phi$ then show that $xy+x-y+1=0$

asked Apr 20, 2014 by sreemathi.v

1 answer

If $a\cos 2\theta+b\sin 2\theta=c$ has $\alpha$ and $\beta$ as its roots,then prove that $\tan\alpha+\tan \beta=\large\frac{2b}{a+c}$

asked Apr 20, 2014 by sreemathi.v

1 answer

Find the value of the expression :$3[\sin^4(\large\frac{3\pi}{2}-\normalsize\alpha)+\sin^4(3\pi+\alpha)]-2[\sin^6(\large\frac{\pi}{2}+\normalsize \alpha)+\sin^6(5\pi-\alpha)]$

asked Apr 20, 2014 by sreemathi.v

1 answer

If $\cos(\theta+\phi)=m\cos(\theta-\phi)$ then prove that $\tan\theta=\large\frac{1-m}{1+m}$$\cot\phi$

asked Apr 20, 2014 by sreemathi.v

1 answer

If $\sin(\theta+\alpha)=a$ and $\sin(\theta+\beta)=b$,then prove that $\cos 2(\alpha-\beta)-4ab\cos(\alpha-\beta)=1-2a^2-2b^2$

asked Apr 20, 2014 by sreemathi.v

1 answer

If $\tan \theta=\large\frac{\sin \alpha-\cos\alpha}{\sin \alpha+\cos\alpha}$ then show that $\sin\alpha+\cos\alpha=\sqrt 2\cos\theta$

asked Apr 18, 2014 by sreemathi.v

1 answer

If $\large\frac{\sin(x+y)}{\sin(x-y)}=\frac{a+b}{a-b}$ then show that $\large\frac{\tan x}{\tan y}=\frac{a}{b}$

asked Apr 18, 2014 by sreemathi.v

1 answer

If $\cos\alpha+\cos\beta=0=\sin\alpha+\sin \beta$,then prove that $\cos 2\alpha+\cos 2\beta=-2\cos(\alpha+\beta)$

asked Apr 18, 2014 by sreemathi.v

1 answer

If $\tan \theta+\sin \theta=m$ and $\tan\theta-\sin \theta=n$ then prove that $m^2-n^2=4\sin \theta\tan\theta$

asked Apr 18, 2014 by sreemathi.v

1 answer

Find the value of $\tan 22^{\large\circ}30'$

asked Apr 18, 2014 by sreemathi.v

1 answer

If $\tan x=\large\frac{b}{a}$,then find the value of $\sqrt{\large\frac{a+b}{a-b}}+\sqrt{\frac{a-b}{a+b}}$

asked Apr 18, 2014 by sreemathi.v

1 answer

If $\cos(\alpha+\beta)=\large\frac{4}{5}$ and $\sin (\alpha-\beta)=\large\frac{5}{13}$ where $\alpha$ lies between $0$ and $\large\frac{\pi}{4}$,find the value of $\tan 2\alpha$

asked Apr 18, 2014 by sreemathi.v

1 answer

If $m\sin \theta=n\sin(\theta+2\alpha)$,then prove that $\tan(\theta+\alpha)\cot\alpha=\large\frac{m+n}{m-n}$

asked Apr 18, 2014 by sreemathi.v

1 answer

If $\large\frac{2\sin \alpha}{1+\cos \alpha+\sin \alpha}$$=y$,then prove that $\large\frac{1-\cos \alpha+\sin \alpha}{1+\sin \alpha}$ is equal to $y$

asked Apr 18, 2014 by sreemathi.v

1 answer

Prove that $\large\frac{\tan A+\sec A-1}{\tan A-\sec A+1}=\frac{1+\sin A}{\cos A}$

asked Apr 18, 2014 by sreemathi.v

1 answer

Find $\sin \large\frac{x}{2},$$\cos \large\frac{x}{2}$ and $\tan \large\frac{x}{2}$ when $\cos x=-\large\frac{1}{3}$.$x$ in quadrant III

asked Apr 18, 2014 by sreemathi.v

1 answer

Find $\sin \large\frac{x}{2},$$\cos \large\frac{x}{2}$ and $\tan \large\frac{x}{2}$ when $\tan x=-\large\frac{4}{3}$,$x$ in quadrant II

asked Apr 18, 2014 by sreemathi.v

1 answer

Find the principal and general solution for the equation $cosec x=-2$

asked Apr 17, 2014 by sreemathi.v

1 answer

Find the principal and general solution for the equation $\cot x=-\sqrt 3$

asked Apr 17, 2014 by sreemathi.v

1 answer

Find the principal and general solution for the equation $\sec x= 2$

asked Apr 17, 2014 by sreemathi.v

1 answer

Prove :$\large\frac{\tan(\Large\frac{\pi}{4}\normalsize +x)}{\tan(\Large\frac{\pi}{4}\normalsize -x)}=\big(\large\frac{1+\tan x}{1-\tan x}\big)^2$

asked Apr 17, 2014 by sreemathi.v

1 answer

If $\;(\large\frac{1+i}{1-i})^{m}=1\;$ then find the least positive integral value of m

asked Apr 15, 2014 by yamini.v

1 answer

Find the number of non - zero integral solutions of the equation $\;|1-i|^{x}=2^{x}$

asked Apr 15, 2014 by yamini.v

1 answer

If $\;\alpha\;$ and $\;\beta\;$ are different complex numbers with $\;|\beta=1|\;$ , then find $\;|\large\frac{\beta-\alpha}{1-\overline{\alpha} \beta}|$

asked Apr 15, 2014 by yamini.v

1 answer

If $\;(x+iy)^{3}=u+iv\;$ , then show that $\; \large\frac{u}{x} + \large\frac{v}{y} = 4(x^{2}-y^{2})$

asked Apr 15, 2014 by yamini.v

1 answer

Find the real numbers x and y if $\;(x-iy)(3+5i)\;$ is the conjugate of $\;-6-24i$

asked Apr 14, 2014 by yamini.v

1 answer

Find the modulus and argument of the complex number $\;\large\frac{1+2i}{1-3i}$

asked Apr 14, 2014 by yamini.v

1 answer

Let $\;z_{1}=2-i\;,z_{2}=-2+i\;$. Find (i)$\;Re(\large\frac{z_{1}z_{2}}{\overline{z_{1}}})\;,$ (ii) $\;Im(\large\frac{1}{z_{1} \overline{z_{2}}})$

asked Apr 14, 2014 by yamini.v

1 answer

If $\;x-iy=\sqrt{\large\frac{a-ib}{c-id}}\;$ what is the value of $\;(x^{2}+y^{2})^{2}$?

asked Apr 11, 2014 by yamini.v

1 answer

$150$ workers were engaged to finish a job in certain no. of days. $4$ workers dropped out on second day. $4$ more workers dropped out on third day and so on. It took $8$ more days to finish the work. Find the no. of days in which the work was completed.

asked Apr 11, 2014 by rvidyagovindarajan_1

1 answer

Reduce $\;(\large\frac{1}{1-4i}- \large\frac{2}{1+i})\;(\large\frac{3 -4i}{5+i})\;$ to the standard form

asked Apr 11, 2014 by yamini.v

1 answer

Which of the following are tangents to the circle $x^2+y^2-4x+8y+12=0$ from $(5-3)$?

asked Apr 9, 2014 by balaji.thirumalai

1 answer

A circle of radius $\sqrt 20$ has the point $(-1,3)$. Its centre is on the line $x=-y$. Which of the following equations satisfies these conditions?

asked Apr 9, 2014 by balaji.thirumalai

1 answer

If $A=\begin{bmatrix} \cos \theta & i\sin \theta \\ i\sin \theta & \cos \theta \end{bmatrix}$ then prove by Mathematical Induction that :$A^n=\begin{bmatrix} \cos n\theta & i\sin n\theta \\ i\sin n\theta & \cos n\theta \end{bmatrix}$

asked Jan 24, 2013 by meena.p

0 answers

Three shopkeepers A, B, C are using polythene, handmade bags (prepared by prisoners), and newspaper’s envelope as carry bags. it is found that the shopkeepers A, B, C are using (20,30,40) , (30,40,20,) , (40,20,30) polythene , handmade bags and newspapers envelopes respectively. The shopkeepers A, B, C spent Rs.250, Rs.220 & Rs.200 on these carry bags respectively .Find the cost of each carry bags using matrices. Keeping in mind the social & environmental conditions, which shopkeeper is better? & why?

asked Jan 24, 2013 by shanthinig

0 answers

If a+b+c=0 anb $ \begin{vmatrix} a-x & a & b \\ c & b-x & a \\ b & a & c-x \end{vmatrix}$ then prove that either x=0 or $x= \pm\sqrt{\frac{3}{2}(a^2+b^2+c^2)}$

asked Jan 24, 2013 by meena.p

0 answers

The sum of the surface area of a rectangular parallelepiped with sides x,2x and $\Large\frac{x}{3}$ and a sphere is given to be constant.Prove that the sum of their volume is minimum,if x is equal to three times the radius of the sphere.Also find the minimum value of the sum of their volumes.

asked Jan 11, 2013 by sreemathi.v

0 answers

A metal box with a square base and vertical sides is to contain 1024$cm^3$.The material for the top and bottom costs Rs 5/$cm^2$ and the material for the sides costs Rs2.50/$cm^2$.Find the least cost of the box.

asked Jan 11, 2013 by sreemathi.v

0 answers

There are two types of fertilisers \( F_1 and F_2. F_1\) contain 10% nitrogen and 6% phosphoric acid and \( F_2\) consists of 5% of nitrogen and 10% phosphoric acid. After testing the soil conditions, a farmer finds that she needs atleast 14kg of phosphoric acid for the crop. If \( F_1 \) costs Rs.6/kg and \( F_2 \) costs Rs. 5/kg, determine how much of each type of fertilizer should be used so that nutrient requirements are met at a minimum cost. What is the minimum cost?

asked Jan 8, 2013 by thanvigandhi_1

0 answers

Sketch the graph of y=| x+3 | and evaluate$\Large \int\limits_{-6}^0\normalsize| x+3 |dx$

asked Dec 17, 2012 by sreemathi.v

1 answer

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