A CAT Geometry question from the topic - CAT Trigoneometry that appears in the Quantitative Aptitude section of the CAT Exam broadly tests an aspirant on the concepts - Basic Trigonometric Functions, Heights and Distances, Sine rule, Cosine rule etc . In CAT Exam, one can generally expect to get approx. 1 question from CAT Trigonmetry. Make use of 2IIMs Free CAT Questions, provided with detailed solutions and Video explanations to obtain a wonderful CAT score. If you would like to take these questions as a Quiz, head on here to take these questions in a test format, absolutely free.
3sinx + 4cosx + r is always greater than or equal to 0. What is the smallest value ‘r’ can to take?
Sin^{2014}x + Cos^{2014}x = 1, x in the range of [-5π, 5π], how many values can x take?
Consider a regular hexagon ABCDEF. There are towers placed at B and D. The angle of elevation from A to the tower at B is 30 degrees, and to the top of the tower at D is 45 degrees. What is the ratio of the heights of towers at B and D?
Find the maximum and minimum value of 8 cos A + 15 sin A + 15
If cos A + cos^{2} A = 1 and a sin^{12} A + b sin^{10} A + c sin^{10} A + d sin^{6} A - 1 = 0. Find the value of a+b/c+d
In the below figure, the sheet of width W is folded along PQ such that R overlaps S Length of PQ can be written as :-
Find the value of :- (log sin 1° + log sin 2° ………..+ log sin 89°) + (log tan 1° + log tan 2° + ……… + log tan 89°) - (log cos 1° + log cos 2° + ……… + log cos 89°)
Ram and Shyam are 10 km apart. They both see a hot air balloon passing in the sky making an angle of 60° and 30° respectively. What is the height at which the balloon could be flying?
A man standing on top of a tower sees a car coming towards the tower. If it takes 20 minutes for the angle of depression to change from 30° to 60°, what is the time remaining for the car to reach the tower?
A right angled triangle has a height ‘p’, base ‘b’ and hypotenuse ‘h’. Which of the following value can h2 not take, given that p and b are positive integers?
If tanϕ + sinϕ = m, tanϕ − sinϕ = n, Find the value of m^{2} - n^{2}
A student is standing with a banner at the top of a 100 m high college building. From a point on the ground, the angle of elevation of the top of the student is 60° and from the same point, the angle of elevation of the top of the tower is 45°. Find the height of the student.
If Cos x – Sin x = √2 Sin x, find the value of Cos x + Sin x:
If \\frac {2Sinx}{1+cosx+Sinx}\\)=t, \\frac{1–Cosx+Sinx}{1+Sinx}\\) can be written as:
A tall tree AB and a building CD are standing opposite to each other. A portion of the tree breaks off and falls on top of the building making an angle of 30°. After a while it falls again to the ground in front of the building, 4 m away from foot of the building, making an angle of 45°. The height of the building is 6 m. Find the total height of the tree in meters before it broke.
A flag is hoisted on top of a building of height 7√3 m. A man of height √3 m, standing on the ground, sees the top and bottom of the flag pole at 2 different angles of elevation that are found to be complementary. If the man is standing √135 m away from the building, find the height of the flag pole.
The Questions that follow, are from actual CAT papers. If you wish to take them separately or plan to solve actual CAT papers at a later point in time, It would be a good idea to stop here.
The number of the real roots of the equation 2cos(x(x + 1)) = 2^{x} + 2^{-x} is
The Questions that follow, are from actual XAT papers. If you wish to take them separately or plan to solve actual XAT papers at a later point in time, It would be a good idea to stop here.
In the trapezium ABCD the sides AB and CD are parallel. The value of \\frac{\sin \angle \mathrm{BAC}}{\sin \angle \mathrm{BAD}}) is
A boat, stationed at the North of a lighthouse, is making an angle of 30° with the top of the lighthouse. Simultaneously, another boat, stationed at the East of the same lighthouse, is making an angleof 45° with the top of the lighthouse. What will be the shortest distance between these two boats? The height of the lighthouse is 300 feet. Assume both the boats are of negligible dimensions.
The Questions that follow, are from actual IPMAT papers. If you wish to take them separately or plan to solve actual IPMAT papers at a later point in time, It would be a good idea to stop here.
sin\\frac{13π}{6}\\) = ?
The value of cos^{2}\\frac{π}{8}) + cos^{2}\\frac{3π}{8}) + cos^{2}\\frac{5π}{8}) + cos^{2}\\frac{7π}{8}) is
The number of pairs (x, y) satisfying the equation sinx + siny = sin(x + y) and |x| + |y| = 1 is
Given that cos x + cos y = 1, the range of sin x - sin y is
If \\sin \theta + \cos \theta = m,\\) then \\sin ^{6} \theta + \cos ^{6} \theta\\) equals
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