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Questions >> JEEMAIN and NEET >> Mathematics >> Trigonometry

The value of expression $\large\frac{1-4\sin 10^{\large\circ}\sin 70^{\large\circ}}{2\sin 10^{\large\circ}}$

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

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

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

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

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

asked Oct 9, 2013 by sreemathi.v

1 answer

If $cosec A+\cot A=\large\frac{11}{2}$ then $\tan A$ is

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

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

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:

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

asked Oct 8, 2013 by sreemathi.v

1 answer

$\sin 47^{\circ}+\sin 61^{\circ}-\sin 11^{\circ}-\sin 25^{\circ}$ is equal to

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

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

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

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

asked Oct 8, 2013 by sreemathi.v

1 answer

A quadratic equation whose roots are $cosec^2\theta$ and $\sec^2\theta$ can be

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

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

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

asked Oct 8, 2013 by sreemathi.v

1 answer

If $\sin\alpha=\sin\beta$ and $\cos\alpha=\cos\beta$ then

asked Oct 8, 2013 by sreemathi.v

1 answer

The value of $\theta(0 \;< \theta\;<360^{\circ})$ satisfying $cosec \;\theta-2=0$ are

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

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

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

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

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

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

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

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

asked Oct 7, 2013 by sreemathi.v

1 answer

If $A=\cos^2\theta+\sin^4\theta$ then for all value of $\theta$

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

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

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

In $\sin x=-\cos^2x$ then $\cos^2x(1+\cos^2x)$ equals

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

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