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

###### CAT Questions | CAT Trigonometry Questions | Trigonometric Identities CAT Questions

The question is from CAT Geometry - Trigonometry. This is about Trigonometric Identities. Our task is to simplify the given expression in terms of t. 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 14: If $$frac {2Sinx}{1+cosx+Sinx}\\$=t, $\frac{1–Cosx+Sinx}{1+Sinx}\\$ can be written as: 1. 1/t 2. t 3. √t Sec x 4. $\frac{t}{Sinx}\\$ ## Best CAT Online Coaching Try upto 40 hours for free Learn from the best! #### 2IIM : Best Online CAT Coaching. ## Best CAT Coaching in Chennai #### CAT Coaching in Chennai - CAT 2022Limited Seats Available - Register Now! ### Explanatory Answer ##### Method of solving this CAT Question from CAT Geometry - Trigonometry : Simplify the expression to get the answer! = $\frac{$2 Sin x$ }{(1+cos�?� x + Sinx)}$ * $\frac{$1+Sin�?� x - Cos x$ }{(1+Sin�?�x - Cos x)}$ = 2 Sin x *$\frac{$1 + Sin x – Cos x$}{((1 + Sin x)^2 – Cos^2 x)}$ = 2 Sin x * $\frac{$1 + Sin x – Cos x$}{(1 + Sin^2 x + 2 Sin x – Cos^2 x)}$ = 2 Sin x * $\frac{$1 + Sin x – Cos x$}{(Cos^2 x + Sin^2 x + Sin^2 x + 2 Sin x – Cos^2 x)}$$Since, 1 = Cos2x + Sin 2x)
= 2 Sin x * $$frac{$1 + Sin x – Cos x$}{(2 Sin^2 x + 2 Sin x)}$ = 2 Sin x * $\frac{$1 + Sin x – Cos x$}{(2 Sin x (1 + Sin x))}$ = $\frac{$1 – Cos x + Sin x$}{(1 + Sin x)}$ = t The question is "If $\frac{$2Sinx$}{(1+cosx+Sinx)}$=t, $\frac{$1–Cosx+Sinx$}{(1+Sinx)}$ can be written as" ##### Hence, the answer is t Choice B is the correct answer. ###### Prepare for CAT 2022 with 2IIM's Daily Preparation Schedule ###### Know all about CAT Exam Syllabus and what to expect in CAT ###### Best CAT Online Coaching Try upto 40 hours for free Learn from the best! ###### Already have an Account? ###### CAT Coaching in ChennaiCAT 2022 Classroom Batches Starting Now! @Gopalapuram ###### Best CAT Coaching in Chennai Introductory offer of 5000/- Attend a Demo Class ###### Best Indore IPM & Rohtak IPM CoachingSignup and sample 9 full classes for free. Register now! ## 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
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