# CAT Questions | CAT Trigonometry Questions

###### CAT Quantitative Aptitude | CAT Trigonometry

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.

1. #### CAT Geometry: Trigonometric Functions

3sinx + 4cosx + r is always greater than or equal to 0. What is the smallest value ‘r’ can to take?

1. 5
2. -5
3. 4
4. 3

2. #### CAT Geometry: Trigonometry - Range of Functions

Sin2014x + Cos2014x = 1, x in the range of [-5π, 5π], how many values can x take?

1. 0
2. 10
3. 21
4. 11

3. #### CAT Geometry: Trigonometry - Maximum and Minimum Value

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?

1. 1:√3
2. 1:2√3
3. 1:2
4. 3:4√3

4. #### CAT Geometry: Trigonometry - Maximum and Minimum Value

Find the maximum and minimum value of 8 cos A + 15 sin A + 15

1. 11√2+15; 15
2. 30; 8
3. 32; -2
4. 23; 8

5. #### CAT Geometry: Trigonometry - Trigonometric Identities

If cos A + cos2 A = 1 and a sin12 A + b sin10 A + c sin10 A + d sin6 A - 1 = 0. Find the value of a+b/c+d

1. 4
2. 3
3. 6
4. 1

6. #### CAT Geometry: Trigonometry - Trigonometric Identities

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 :-

20. #### IPMAT 2019 Question Paper - IPM Indore Quants,Trigonometry

Given that cos x + cos y = 1, the range of sin x - sin y is

1. [-1, 1]
2. [-2, 2]
3. [0, √3]
4. [-√3, √3]

If $$sin \theta + \cos \theta = m,\\$ then $\sin ^{6} \theta + \cos ^{6} \theta\\$ equals 1. $\frac{3$m^{2}+1$}{4}$ 2. $\frac{3$m^{2}-1$}{4}$ 3. $1-\frac{3$m^{2}-1$}{4}$ 4. $1-\frac{3$m^{2}-1$^{2}}{4}$ 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. 1. #### CAT 2019 Question Paper Slot 1 - Trigonometry The number of the real roots of the equation 2cos$x(x + 1)) = 2x + 2-x is

1. 0
2. Infinite
3. 1
4. 2

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