Recent questions in Trigonometric Functions

The wheel of a railway carriage is 40cm in diameter and makes 6 revolutions in a second. How fast is the train going?

asked May 20, 2014 by sreemathi.v

2 answers

In the following match each item given under the column $C_1$ to its correct answer given under the column $C_2$

asked May 20, 2014 by sreemathi.v

1 answer

True-or-False :If $\tan(\pi \cos \theta)=\cot (\pi \sin \theta)$,then $\cos(\theta-\large\frac{\pi}{4})$$=\pm \large\frac{1}{2\sqrt 2}$

asked May 20, 2014 by sreemathi.v

1 answer

True-or-False :If $\tan \theta+\tan 2\theta+\sqrt 3\tan \theta\tan 2\theta=\sqrt 3$ then $\theta=\large\frac{n\pi}{3}+\frac{\pi}{9}$

asked May 20, 2014 by sreemathi.v

1 answer

True-or-False :If $cosec x=1+\cot x$ then $x=2n\pi,2n\pi+\large\frac{\pi}{2}$

asked May 20, 2014 by sreemathi.v

1 answer

True-or-False :One value of $\theta$ which satisfies the equation $\sin ^4\theta-2\sin ^2\theta-1$ lies between 0 and $2\pi$

asked May 20, 2014 by sreemathi.v

1 answer

True-or-False :$\cos \large\frac{2\pi}{15}$$\cos \large\frac{4\pi}{15}$$\cos \large\frac{8\pi}{15}$$\cos \large\frac{16\pi}{15}=\frac{1}{16}$

asked May 20, 2014 by sreemathi.v

0 answers

True-or-False :$\sin 10^{\large\circ}$ is greater than $\cos 10^{\large\circ}$

asked May 20, 2014 by sreemathi.v

1 answer

True-or-False :The equality $\sin A+\sin 2A+\sin 3A=3$ holds for some real value of A

asked May 20, 2014 by sreemathi.v

1 answer

True-or-False :If $\tan A=\large\frac{1-\cos B}{\sin B}$ then $\tan 2A=\tan B$

asked May 20, 2014 by sreemathi.v

1 answer

The maximum distance of a point on the graph of the function $y=\sqrt 3\sin x+\cos x$ from $x$-axis is ________

asked May 20, 2014 by sreemathi.v

1 answer

Given $x > 0$,the value of $f(x)=-3\cos \sqrt{3+x+x^2}$ lie in the interval _________

asked May 20, 2014 by sreemathi.v

1 answer

$3(\sin x-\cos x)^4+6(\sin x+\cos x)^2+4(\sin ^6x+\cos ^6x)$=_______

asked May 20, 2014 by sreemathi.v

1 answer

In a triangle ABC with $\angle C=90^{\large\circ}$ the equation whose roots are $\tan A$ and $\tan B$ is ___________

asked May 20, 2014 by sreemathi.v

1 answer

Which of the following is correct?

asked May 20, 2014 by sreemathi.v

1 answer

Which of the following is not correct ?

asked May 20, 2014 by sreemathi.v

1 answer

Find the general solution of the equation $(\sqrt 3+1)\cos \theta+(\sqrt 3-1)\sin \theta=2$

asked May 20, 2014 by sreemathi.v

1 answer

Prove that $\cos \theta \cos\large\frac{\theta}{2}-$$\cos 3\theta\cos \large\frac{9\theta}{2}=$$\sin 7\theta\sin 8\theta$

asked May 20, 2014 by sreemathi.v

1 answer

Find the value of $\sin 405^{\large\circ}$

asked Apr 22, 2014 by sreemathi.v

1 answer

Find the value of $cosec(-\large\frac{41\pi}{4})$

asked Apr 22, 2014 by sreemathi.v

1 answer

Find the value of $\sec(-\large\frac{25\pi}{3})$

asked Apr 22, 2014 by sreemathi.v

1 answer

Find the value of $\cot(\large\frac{13\pi}{4})$

asked Apr 22, 2014 by sreemathi.v

1 answer

Find the value of $\tan(\large\frac{-25\pi}{3})$

asked Apr 22, 2014 by sreemathi.v

1 answer

Find the value of $\cos \large\frac{17\pi}{2}$

asked Apr 22, 2014 by sreemathi.v

1 answer

Find the value of $\sin \large\frac{31\pi}{3}$

asked Apr 22, 2014 by sreemathi.v

1 answer

If $\sec x=-2$ and $\pi < x < \large\frac{3\pi}{2}$,find the value of all other five trigonometric functions.

asked Apr 22, 2014 by sreemathi.v

1 answer

If $\cos x=-\large\frac{\sqrt{15}}{4}$ and $\large\frac{\pi}{2}$$ \lt x $$ \lt \pi$ ,find the value of $\sin x$

asked Apr 22, 2014 by sreemathi.v

1 answer

If $\sin x=-\large\frac{2\sqrt 6}{5}$ and $x$ lies in quadrant III,find the values of $\cos x$ and $\cot x$

asked Apr 22, 2014 by sreemathi.v

1 answer

If $\sin x+\cos x=a$,then $|\sin x-\cos x|=$________

asked Apr 22, 2014 by sreemathi.v

1 answer

If $\sin x+\cos x=a$ then $\sin ^6x+\cos ^6x$=_______

asked Apr 22, 2014 by sreemathi.v

1 answer

If $\tan A=\large\frac{1-\cos B}{\sin B}$,then $\tan 2A$=_______

asked Apr 22, 2014 by sreemathi.v

1 answer

If $K=\sin\large\frac{5\pi}{8}$$\sin \large\frac{5\pi}{18}$$\sin \large\frac{7\pi}{18}$,then the numerical value of $K$ is _____

asked Apr 22, 2014 by sreemathi.v

1 answer

The value of $\large\frac{\sin 50^{\large\circ}}{\sin 130^{\large\circ}}$ is ________

asked Apr 22, 2014 by sreemathi.v

1 answer

If for real values of $x\cos\theta=x+\large\frac{1}{x}$,then

asked Apr 22, 2014 by sreemathi.v

2 answers

If $\tan \theta=\large\frac{a}{b}$,then $b\cos 2\theta+a\sin 2\theta$ is equal to

asked Apr 21, 2014 by sreemathi.v

1 answer

If $\tan\alpha=\large\frac{1}{7}$$,\tan \beta=\large\frac{1}{3}$,then $\cos 2\alpha$ is equal to

asked Apr 21, 2014 by sreemathi.v

1 answer

The value of $\cos^248^{\large\circ}-\sin^212^{\large\circ}$ is

asked Apr 21, 2014 by sreemathi.v

1 answer

If $A$ lies in the second quadrant and $3\tan A+4=0$,then the value of $2\cot A-5\cos A+\sin A$ is equal to

asked Apr 21, 2014 by sreemathi.v

1 answer

The value of $\sin\large\frac{\pi}{18}$$+\sin \large\frac{\pi}{9}$$+\sin \large\frac{2\pi}{9}$$+\sin \large\frac{5\pi}{18}$ is given by

asked Apr 21, 2014 by sreemathi.v

1 answer

Number of solutions of the equation $\tan x+\sec x=2\cos x$ lying in the interval $[0,2\pi]$ is

asked Apr 21, 2014 by sreemathi.v

1 answer

If $\sin \theta=-\large\frac{4}{5}$ and $\theta$ lies in third quadrant then the value of $\cos\large\frac{\theta}{2}$ is

asked Apr 21, 2014 by sreemathi.v

1 answer

If $\alpha+\beta=\large\frac{\pi}{4}$,then the value of $(1+\tan \alpha)-(1+\tan \beta)$ is

asked Apr 21, 2014 by sreemathi.v

1 answer

If $\sin \theta+\cos \theta=1$,then the value of $\sin 2\theta$ is equal to

asked Apr 21, 2014 by sreemathi.v

1 answer

The value of $\sin 50^{\large\circ}-\sin 70^{\large\circ}+\sin 10^{\large\circ}$ is

asked Apr 21, 2014 by sreemathi.v

1 answer

The value of $\sin\large\frac{\pi}{10}$$\sin\large\frac{13\pi}{10}$ is

asked Apr 21, 2014 by sreemathi.v

1 answer

$\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 $\cos 12^{\large\circ}+\cos 84^{\large\circ}+\cos 156^{\large\circ}+\cos 132^{\large\circ}$ is

asked Apr 21, 2014 by sreemathi.v

1 answer

$\cos 2\theta\cos 2\phi+\sin^2(\theta-\phi)-\sin^2(\theta+\phi)$ is equal to

asked Apr 21, 2014 by sreemathi.v

1 answer

The value of $\cot(\large\frac{\pi}{4}+$$\theta).\cot(\large\frac{\pi}{4}$$-\theta)$ is

asked Apr 21, 2014 by sreemathi.v

1 answer

The value of $\sin (45^{\large\circ}+\theta)-\cos(45^{\large\circ}-\theta)$ is

asked Apr 21, 2014 by sreemathi.v

1 answer

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