# CAT Quantitative Aptitude Questions | Geometry Questions for CAT - Trigonometry

###### CAT Questions | CAT Trigonometry Questions | Trigonometry and Logarithm

The question is from CAT Geometry - Trigonometry. This is about Trigonometry and Logarithm. We need to find out of the given expression which contains both logarithm and trigonometric ratio. 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 7: 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°)

1. \\frac{log√2}{(1+√2)}\\)
2. -1
3. 1
4. None of these

## Best CAT Coaching in Chennai

### Explanatory Answer

##### Method of solving this CAT Question from CAT Geometry - Trigonometry : Rearrange the expression and you'll be through!

Writing the equation as :-

(log sin 1° - log cos 89°) + (log sin 2° - log cos 88°) + (log sin 3° - log cos 87°)………… + log tan 1°. log tan 89° + log tan 2°. log tan 88° + …….
=> cos (90 - ∅) = sin∅ : tan (90 - ∅) = cot∅

=> (log sin 1° - log sin 1°) +(log sin 2° - log sin 2°)+……..+ log tan 1°cot 1° + log tan 2°cot 2°
=> log 1 = 0

The question is "Find the value of the above given term"

##### Hence, the answer is None of these

Choice D is the correct answer.

###### CAT Coaching in ChennaiCAT 2024

Classroom Batches Starting Now! @Gopalapuram and @Anna nagar

###### Best CAT Coaching in Chennai

Attend a Demo Class

## CAT Preparation Online | CAT Geometry - Trigonometry Videos On YouTube

#### Other useful sources for Geometry Questions | Trigonometry Questions

##### Where is 2IIM located?

2IIM Online CAT Coaching
A Fermat Education Initiative,
58/16, Indira Gandhi Street,
Kaveri Rangan Nagar, Saligramam, Chennai 600 093

##### How to reach 2IIM?

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