Trigonometry Te...

tan 1° tan 2° tan 3° …… tan 89° is equal to

From a 60 metre high tower, angles of depression of the top and bottom of a house are and respectively. If the height of the house is, then x is equal to

Choose the right option if Psin³+Qcos³ = sin cos and P sin= Qcos.

The angle of depression of an object from a tower of height 150 m is 30⁰. The distance of object from tower is

A ladder 24 m long is resting on the wall such that it touches the wall at midway of the wall's height. At the foot of the ladder, the angle of elevation from the midpoint of the wall is 45^o. Find the height of the wall.

If tan² = 2tan² + 1, then cos 2 + sin² is equal to

An observer on the top of a tree finds the angle of depression of a car moving at constant speed towards the tree to be 30⁰. After 3 minutes this angle becomes 60⁰. After how much more time, the car will reach the tree?

Choose the right option if x = a sin- b cos and Y= acos+b sin.

A ladder of 20 m long touches the wall at height of 10m. The angle made by it with the horizontal is

A vertical pole is 300 m high. Find the angle subtended by its top at a point 300m from its base.

If tan = - , then sin =

Two vertical poles of equal heights are 120 m apart. On the line joining their bottoms, A and B are two points. The angle of elevation of the top of one pole from A is 45^o and that of the other pole from B is also 45^o. If AB = 30 m, then the height of each pole is

If cos+ sin= 1 and sin - cos= 1, then

The length of shadow of a tower is times that of its length. The angle of elevation of the sun is

In a ABC, if and a = 2, the area of the triangle is:

cos 1° cos 2° cos 3° …. cos 179° is equal to

The angles of elevation of a cliff at a point A on the ground and a point B 100m vertically above A are and respectively. The height of the cliff is

If sin= and tan= , which of the following is correct?

A person walking 20 m towards a chimney in a horizontal line through its base observes that its angle of elevation changes from 30^o to 45^o. The height of chimney is

A pole 50 m high stands on a building 250 m high. To an observer at a height of 300 m, the building and the pole subtend equal angles. The distance of the observer from the top of the pole is