CAT Quantitative Aptitude Questions | Geometry Questions for CAT - Trigonometry

CAT Questions | CAT Trigonometry Questions | Maximum and Minimum Value

The question is from CAT Geometry - Trigonometry. This is about Maximum and Minimum Value of a Trigonometric Function. Trigonometry is an important topic for CAT Preparation for the CAT Exam. Trigonometric ideas can be completely opposite, as in, some questions test lot of common sense with direction, heights and distances, while others could test you on identities. CAT exam could test one on both these fronts. Make sure you master both in CAT - Trigonometry.

Question 4: Find the maximum and minimum value of 8 cos A + 15 sin A + 15

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

2IIM : Best Online CAT Coaching


Signup and sample 5 classes
for free


Best CAT Coaching in Chennai


Batches filling fast.
Starts Sat, June 8th, 2019


Explanatory Answer

Method of solving this CAT Question from CAT Geometry - Trigonometry : Can we use pythagorean triplets here? Think!!

Always look out for Pythagorean triplets, we know that (8,15,17) is one
∴ The expression becomes: 17 (\\frac{8}{17}\\) Cos⁡A +\\frac{15}{17}\\) SinA)
Let there be a angle B for which sin B = \\frac{8}{17}\\), cos B = \\frac{15}{17}\\)
=> 17( sin B cos A + cos B sin A) + 15
17(sin(A+B)) + 15

We know that sin(A+B)max = 1
sin(A+B)min = -1

∴ Max value = 17 * 1 +15 = 32
Min value = 17 * -1 + 15 = -2

The question is "to find the maximum and minimum value "

Hence, the answer is 32; -2

Choice B is the correct answer.

 


CAT Preparation Online | CAT Geometry - Trigonometry Videos On YouTube


Other useful sources for Geometry Questions | Trigonometry Questions


CAT Questions | CAT Quantitative Aptitude

CAT Questions | CAT DILR

CAT Questions | Verbal Ability for CAT


Where is 2IIM located?

2IIM Online CAT Coaching
A Fermat Education Initiative,
10-C, Kalinga Colony, Bobbili Raja Salai
K.K.Nagar, Chennai. India. Pin - 600 078

How to reach 2IIM?

Phone: (91) 44 4505 8484
Mobile: (91) 99626 48484
WhatsApp: WhatsApp Now
Email: prep@2iim.com