Recent questions tagged medium

Evaluate : $\sin 18^{\large\circ}$

asked May 22, 2014 by sreemathi.v

1 answer

If $2\tan\alpha=3\tan\beta$,prove that $\tan(\alpha-\beta)=\large\frac{\sin 2\beta}{5-\cos^2\beta}$

asked May 22, 2014 by sreemathi.v

1 answer

Find the image of the point (3, 8) with respect to the line $x +3y = 7$ assuming the line to be a plane mirror

asked May 21, 2014 by thanvigandhi_1

1 answer

Find the distance of the line $4x + 7y + 5 = 0$ from the point (1, 2) along the line $2x-y=0$

asked May 21, 2014 by thanvigandhi_1

1 answer

Prove that $\tan(\large\frac{\pi}{4}$$+\theta)+\tan(\large\frac{\pi}{4}-$$\theta)=2\sec 2\theta$

asked May 21, 2014 by sreemathi.v

1 answer

In what ratio, the line joining (–1, 1) and (5, 7) is divided by the line x + y = 4?

asked May 21, 2014 by thanvigandhi_1

1 answer

Prove that $\sin 20^{\large\circ}\sin 40^{\large\circ}\sin 80^{\large\circ}=\large\frac{\sqrt 3}{8}$

asked May 21, 2014 by sreemathi.v

1 answer

Find the maximum and minimum values of the following expression $3\cos\theta+5\sin (\theta-\large\frac{\pi}{6})$

asked May 21, 2014 by sreemathi.v

1 answer

Find the sign of the expression $\sin \theta+\cos \theta$ when $\theta=100^{\large\circ}$

asked May 21, 2014 by sreemathi.v

1 answer

If $3\tan \theta\tan\phi=1$ ,prove that $2\cos (\theta+\phi)=\cos (\theta-\phi)$

asked May 21, 2014 by sreemathi.v

1 answer

Prove that $\cos (45^{\large\circ}-A).\cos(45^{\large\circ}-B)-\sin(45^{\large\circ}-A)\sin(45^{\large\circ}-B)=\sin(A+B)$

asked May 21, 2014 by sreemathi.v

1 answer

If $A$ and $B$ are positive acute angle and $\cos A=\large\frac{1}{7},$$\cos B=\large\frac{13}{14}$,then show that $A-B=60^{\large\circ}$

asked May 21, 2014 by sreemathi.v

1 answer

Evaluate $\tan 75^{\large\circ}+\cot 75^{\large\circ}$

asked May 21, 2014 by sreemathi.v

1 answer

Find the value of $\tan 105^{\large\circ}$

asked May 21, 2014 by sreemathi.v

1 answer

Evaluate $\sin 105^{\large\circ}+\cos 105^{\large\circ}$

asked May 21, 2014 by sreemathi.v

1 answer

Find the degree measure of $(-2)^c$

asked May 21, 2014 by sreemathi.v

1 answer

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

asked May 21, 2014 by sreemathi.v

1 answer

Evaluate : $\cot ^4\theta+\cot ^2\theta$

asked May 20, 2014 by sreemathi.v

1 answer

Find the radian measure of $-37^{\large\circ}30'$

asked May 20, 2014 by sreemathi.v

1 answer

Find the value of $p$ so that the three lines $3x + y – 2 = 0, px + 2 y – 3 = 0$ and $2x – y – 3 = 0$ may intersect at one point.

asked May 20, 2014 by thanvigandhi_1

1 answer

The angles of a triangle are in the ratio 3 : 4 : 5.Find the smallest angle in degrees and the greatest angle in radians

asked May 20, 2014 by sreemathi.v

1 answer

Find the area of the triangle formed by the lines $y – x = \theta, x + y = \theta$ and $x – k = \theta$

asked May 20, 2014 by thanvigandhi_1

1 answer

Find the radius of the circle in which a central angle of $45^{\large\circ}$ intercepts an arc 132cm

asked May 20, 2014 by sreemathi.v

1 answer

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

Find the equation of a line drawn perpendicular to the line $ \large\frac{x}{4}$$+\large\frac{y}{6}$$=1$ through the point, where it meets the $y$ - axis

asked May 20, 2014 by thanvigandhi_1

1 answer

Find the equation of the line parallel to $y$ - axis and drawn through the point of intersection of the lines $x – 7y + 5 = 0$ and $3x + y = \theta.$

asked May 20, 2014 by thanvigandhi_1

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 :$\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 :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

The number of different matrices that can be formed with elements 0,1,2 or 3 each matrix having 4 elements ,is

asked May 20, 2014 by sreemathi.v

1 answer

A five digit number divisible by 3 is to be formed using the numerals 0,1,2,3,4 and 5 without repetition.The total number of ways this can be done is

asked May 20, 2014 by sreemathi.v

1 answer