# 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 $$frac {2Sinx}{1+cosx+Sinx}\\$=t, $\frac{1–Cosx+Sinx}{1+Sinx}\\$ can be written as: 1. 1/t 2. t 3. √t Sec x 4. $\frac{t}{Sinx}\\$ ## 🐤 Early Bird Offer! 4,000 off on CAT '22 Online courses Valid until 25th July #### 2IIM : Best Online CAT Coaching. ## Best CAT Coaching in Chennai #### CAT Coaching in Chennai - CAT 2021Online Batches Available Now! ### Explanatory Answer ##### Method of solving this CAT Question from CAT Geometry - Trigonometry : Simplify the expression to get the answer! = $\frac{$2 Sin x$ }{(1+cos�?� x + Sinx)}$ * $\frac{$1+Sin�?� x - Cos x$ }{(1+Sin�?�x - Cos x)}$ = 2 Sin x *$\frac{$1 + Sin x – Cos x$}{((1 + Sin x)^2 – Cos^2 x)}$ = 2 Sin x * $\frac{$1 + Sin x – Cos x$}{(1 + Sin^2 x + 2 Sin x – Cos^2 x)}$ = 2 Sin x * $\frac{$1 + Sin x – Cos x$}{(Cos^2 x + Sin^2 x + Sin^2 x + 2 Sin x – Cos^2 x)}$$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. ###### 🐤 Early Bird Offer! 4,000 off on CAT '22 Online courses. Valid until 25th July ###### Already have an Account? ###### CAT Coaching in ChennaiCAT 2021Enroll at 49,000/- 44,000/- Online Classroom Batches Starting Now! ###### 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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