Recent questions tagged ch-10

The angles of depression of two ships from the tops of a light house are $45^{\circ}$ and $30^{\circ}$ towards east. If the ships are $100\;m$ apart, the height of the light house is _______

asked Nov 5, 2014 by meena.p

1 answer

The angle of elevation of a cloud from a point h meter above a lake is $\theta $. The angle of of depression of the lake is $45^{\circ}4. The height of the cloud is

asked Nov 5, 2014 by meena.p

1 answer

The captain of an aeroplane who is flying at an alttitude of $1200\;m$ sights two ships at an angle of depression of $60^{\circ}$ and $30^{\circ}$. The distance between the two ships is ________

asked Nov 5, 2014 by meena.p

1 answer

From the top of a $50\;m$ high building , the angle of depression of a car on the road is $30^{\circ}$. The distance between the car and the building is ________

asked Nov 5, 2014 by meena.p

1 answer

The angle of elevation of a cloud from a point $60\;m$ above a lake is $30^{\circ}$ and the angle of depression of the lake of the cloud in the lake is $60^{\circ}$. The height of the cloud is

asked Nov 4, 2014 by meena.p

1 answer

A kite is flying attached to a thread which is $165\;m$ long. The thread makes an angle of $30^{\circ}$ with the ground. The height of the kite from the ground is ________

asked Nov 4, 2014 by meena.p

1 answer

If $2 cosec^2 30^{\circ} + x \sin^2 60^{\circ}- \large\frac{3}{4} $$\tan^2 30 =10$ then the value of x is ________

asked Nov 4, 2014 by meena.p

1 answer

The value of $\sin (70^{\circ}+ \theta) - \cos (20^{\circ}- \theta )$=________

asked Nov 4, 2014 by meena.p

1 answer

If A and B are angle and $\sin A = \cos B$, then $A+B$ =______

asked Nov 4, 2014 by meena.p

1 answer

If $\sin \theta + \cos \theta =1 $ then $\cos \theta - \sin \theta=$______

asked Nov 4, 2014 by meena.p

1 answer

If $\sec \theta + \tan \theta =m$ and $\sec \theta - \tan \theta =n$ then $mn $ =______

asked Nov 4, 2014 by meena.p

1 answer

If $3 \sin \theta +5 \cos \theta =5$, then $5\sin \theta -3 \cos \theta$ =_____

asked Nov 4, 2014 by meena.p

1 answer

If $a \cos \theta- b \sin \theta =c$ then $(a \cos \theta)$=________

asked Nov 4, 2014 by meena.p

1 answer

The value of $(cosec^2 \theta -1) \tan ^2 \theta =$ _____

asked Nov 4, 2014 by meena.p

1 answer

The value of $ \sin ^2 32+ \sin ^2 58$ is ________

asked Nov 4, 2014 by meena.p

1 answer

If $x= r \sin \theta \cos \phi , y = \sin \theta \sin \phi $, and $z= r \cos \theta ,$ then

asked Nov 4, 2014 by meena.p

1 answer

If $ a \cot \theta + b\; cosec \theta =p$ and $b \cot \theta + a\; cosec \theta =q ,$ then $p^2-q^2=$

asked Nov 4, 2014 by meena.p

1 answer

$\cos ^4 A - \sin ^4 A =$

asked Nov 4, 2014 by meena.p

1 answer

If $\large\frac{\sin \theta}{1+\cos \theta}=$

asked Nov 4, 2014 by meena.p

1 answer

If $ 6x = \sec \theta $ and $ \large\frac{6}{x}$$= \tan \theta $, then the value of $36 \bigg(x^2 - \large\frac{1}{x^2} \bigg)$ is __________

asked Nov 3, 2014 by meena.p

2 answers

If $\cos \theta = \large\frac{3}{4}$ then the value of $9 \tan ^2 \theta +9 $ is ______

asked Nov 3, 2014 by meena.p

1 answer

If $ \sin \theta + \cos \theta = \sqrt 2 \cos (90^{\circ}- \theta)$ then $\cot \theta $ is

asked Nov 3, 2014 by meena.p

1 answer

If $ \cos \theta = \large\frac{2}{3}$, then $2 \sec^2 \theta+2 \tan ^2 \theta -7$ is equal to

asked Nov 3, 2014 by meena.p

1 answer

If $x \tan 45^{\circ} \cos 60^{\circ} = \sin 60^{\circ} cot 60^{\circ}$, then x=_______

asked Nov 3, 2014 by meena.p

1 answer

The value of $\cos ^{\circ} \cos 2^{\circ} \cos 3^{\circ}...... \cos 179^{\circ} \cos 180^{\circ}$

asked Nov 3, 2014 by meena.p

1 answer

The value of $\theta$ satisfying $\sqrt 3 \sin \theta =\cos \theta$ is ________

asked Nov 3, 2014 by meena.p

1 answer

If $\sec 3A= cos (A-26^{\circ})$ where $3A$ is an angle, then the value of A is ________

asked Nov 3, 2014 by meena.p

1 answer

If $\sec 4A= cosec (A-20^{\circ})$ where $4A$ is an angle, then th value of A is ________

asked Nov 3, 2014 by meena.p

1 answer

If $A,B,C$ are the interior angles of a triangle $ABC$, then $\tan \bigg(\large\frac{B+C}{2} \bigg)$$=_____

asked Nov 3, 2014 by meena.p

1 answer

The value of $\tan 5^{\circ} \tan 25^{\circ} \tan 30^{\circ} \tan 65^{\circ} \tan 85^{\circ}$ is

asked Nov 3, 2014 by meena.p

1 answer

The value of $\tan 1^{\circ} \tan 2^{\circ} \tan 3^{\circ}....... \tan 89^{\circ}$ is ________

asked Nov 3, 2014 by meena.p

1 answer

In $\Delta PQR$ , right angled at $Q, PQ = 3 \;cm$ and $PR= 6\;cm$ . Then the value of $ \Delta P $ and $\Delta R$ is ________

asked Nov 3, 2014 by meena.p

1 answer

If $ \sin (A+B) =1$ and $\cos (A-B)= \large\frac{\sqrt 3}{2}, 0^{\circ} $$< (A+B) \leq 90^{\circ}, A > B $ then the value of A and B is ________

asked Nov 3, 2014 by meena.p

1 answer

The value of $\theta$ if $3 \tan ^2 \theta -1 =0$ is

asked Nov 3, 2014 by meena.p

1 answer

If $2 \cos 3 \theta =1$ then the value of $\theta$ is ________

asked Nov 3, 2014 by meena.p

1 answer

The value of $ \large\frac{\cos 30^{\circ}+\sin 60^{\circ}}{1+ \cos 60^{\circ}+ \sin 30^{\circ}}$ is _______

asked Nov 3, 2014 by meena.p

1 answer

In a right angled triangle right angle at A, if $\tan C= \sqrt 3$, then the value of $\sin B \cos C + \cos B \sin C$ is _______

asked Nov 3, 2014 by meena.p

1 answer

If $8 \tan A = 15$ then $\sin A - \cos A$ is ___

asked Nov 3, 2014 by meena.p

1 answer

If $ \tan \theta = \large\frac{20}{21}$, then the value of $\large\frac{1- \sin \theta + \cos \theta }{1+ \sin \theta + \cos \theta }$ is _______

asked Nov 3, 2014 by meena.p

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