Trigonometry- Quantitative Aptitude is an important topic when it comes to MBA Entrance exams. This is one of the most important aspects of Quantitative Aptitude. The reason why this is being included as a sub-topic under Quantitative Aptitude is it helps students work out basic concepts in geometry and also complex angles and dimensions in relatively little time. Since the last few years, especially from 2017, very few geometry aptitude questions have been coming in every entrance exam. Nevertheless, it is good to go prepared.
Trigonometry concepts vary a lot. CAT Geometry Questions from Trigonometry can vary from heights and distances to concepts of identities.
1. Specific functions of angles and their applications to calculations. For e.g. sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec) and cosecant (csc)
2. Questions related to height & distance using pythagoras theorem.
3. Product-to-sums & vice-versa.
4. Trigonometric identities & even odd identities.
5. Learning about the six basic trigonometric ratios. The key is that each trigonometric function becomes periodic which means that values repeat in equal trends
66. Finding the Unit Circle – For e.g. Each point (X, Y) on a circle gives values of cosine and sine of the corresponding angle
7. Finding Pythagorean identities. For e.g. When applied to the unit circle, we get a trio of the useful trigonometric function
1. The number of the real roots of the equation 2cos(x(x + 1)) = 2x + 2-x is? (CAT 2019 Slot 1)
2. 3sinx + 4cosx + r is always greater than or equal to 0. What is the smallest value ‘r’ can to take? (CAT 2018 Slot 2)
3. 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? (CAT 2018 Slot 2)
4. What is the value of (1-CosA) / (1+CosA) given that tan A = 3/4 ? (CAT 2016 Slot 1)