{"id":825433,"date":"2024-06-28T17:23:11","date_gmt":"2024-06-28T11:53:11","guid":{"rendered":"https:\/\/leverageedu.com\/discover\/?p=825433"},"modified":"2024-06-28T17:23:11","modified_gmt":"2024-06-28T11:53:11","slug":"management-trigonometry-cat-questions","status":"publish","type":"post","link":"https:\/\/leverageedu.com\/discover\/indian-exams\/management-trigonometry-cat-questions\/","title":{"rendered":"Trigonometry CAT Questions: Sample Questions (PDF) & Formulas"},"content":{"rendered":"\n

Trigonometry CAT Questions: <\/strong>The <\/strong>CAT exam 2024 includes three sections: VARC, DILR & QA. Students need to prepare for each CAT section diligently and be informed about updated CAT exam patterns as well. The trigonometry is a part of the CAT quant section<\/strong><\/a>. The questions of trigonometry fall under Geometry. To know more about trigonometry and its types of questions, continue reading the blog post below.\u00a0<\/p>\n\n\n\n\n\n\n

Trigonometry CAT Questions (Sample Questions)<\/h2>\n\n\n\n

Here are a few sample questions related to trigonometry as per CAT examination. <\/p>\n\n\n\n

Q1. If cos A + cos2 A = 1 and a sin12 A + b sin10 A + c sin8 A + d sin6 A – 1 = 0. Find the value of a+b\/c+d<\/strong><\/p>\n\n\n\n

A) 4<\/p>\n\n\n\n

B) 3<\/p>\n\n\n\n

C) 6<\/p>\n\n\n\n

D) 1<\/p>\n\n\n\n

Answer: <\/strong>3<\/p>\n\n\n\n

Q2. Find the maximum and minimum value of 8 cos A + 15 sin A + 15<\/strong><\/p>\n\n\n\n

A) 11\u221a2+15<\/p>\n\n\n\n

B) 30; 8<\/p>\n\n\n\n

C) 32; -2<\/p>\n\n\n\n

D) 23; 8<\/p>\n\n\n\n

Answer: <\/strong>32; -2<\/p>\n\n\n\n

Q3. 3sinx + 4cosx + r is always greater than or equal to 0. What is the smallest value \u2018r\u2019 can to take?<\/strong><\/p>\n\n\n\n

A) 5<\/strong><\/p>\n\n\n\n

B) -5<\/strong><\/p>\n\n\n\n

C) 2<\/strong><\/p>\n\n\n\n

D) 3<\/strong><\/p>\n\n\n\n

Answer: <\/strong>-5<\/p>\n\n\n\n

In the below figure, the sheet of width W is folded along PQ such that R overlaps S Length of PQ can be written as :-<\/strong><\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

A) w\/sin2\u03b1cos\u03b1<\/strong><\/p>\n\n\n\n

B) w\/cos\u03b1(1+sin2\u03b1)<\/strong><\/p>\n\n\n\n

C)  24<\/strong><\/p>\n\n\n\n

D) Any two of the above<\/strong><\/p>\n\n\n\n

Answer: <\/strong>Any two of the above<\/p>\n\n\n\n

Also Read: Best YouTube Channels for CAT Preparation<\/a><\/strong><\/p>\n\n\n\n

Trigonometry CAT Questions PDF: Download Here<\/h2>\n\n\n\n

Download the Trigonometry CAT questions PDF given below:<\/p>\n\n\n\n

Trigonometry CAT Questions Sample PDF<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

Also Read: Important Topics in DILR for CAT with Preparation Tips<\/a><\/strong><\/p>\n\n\n\n

What is Trigonometry?<\/h2>\n\n\n\n

The word trigonometry is derived from the Greek word tri <\/em>meaning three, gon<\/em> meaning sides and metron <\/em>meaning measure. It is a study related to the sides and angles of a triangle. The three basic trigonometry functions are sine, cosine and tangent. Other essential equations are derived from cotangent, secant and cosecant.\u00a0<\/p>\n\n\n\n

Also Read: Previous Year CAT Questions on Time, Speed and Distance (2023, 2022, 2021 & 2020): Check Answers<\/a><\/strong><\/p>\n\n\n\n

Table of Angles for CAT Trigonometry Questions<\/h2>\n\n\n\n

Note the table below to get an idea of the fundamental identities which you need to know to solve CAT Trigonometry Questions.<\/p>\n\n\n\n

Degrees<\/strong><\/td>0\u00b0<\/strong><\/td>30\u00b0<\/strong><\/td>45\u00b0<\/strong><\/td>60\u00b0<\/strong><\/td>90\u00b0<\/strong><\/td>180\u00b0<\/strong><\/td>270\u00b0<\/strong><\/td>360\u00b0<\/strong><\/td><\/tr>
Radians<\/td>0<\/td>\u03c0\/6<\/td>\u03c0\/4<\/td>\u03c0\/3<\/td>\u03c0\/2<\/td>\u03c0<\/td>3\u03c0\/2<\/td>2\u03c0<\/td><\/tr>
Sin \u03b8<\/td>0<\/td>1\/2<\/td>1\/\u221a2<\/td>\u221a3\/2<\/td>1<\/td>0<\/td>-1<\/td>0<\/td><\/tr>
Cos \u03b8<\/td>1<\/td>\u221a3\/2<\/td>1\/\u221a2<\/td>1\/2<\/td>0<\/td>-1<\/td>0<\/td>1<\/td><\/tr>
Tan \u03b8<\/td>0<\/td>1\/\u221a3<\/td>1<\/td>\u221a3<\/td>\u221e<\/td>0<\/td>\u221e<\/td>0<\/td><\/tr>
Cot \u03b8<\/td>\u221e<\/td>\u221a3<\/td>1<\/td>1\/\u221a3<\/td>0<\/td>\u221e<\/td>0<\/td>\u221e<\/td><\/tr>
Sec \u03b8<\/td>1<\/td>2\/\u221a3<\/td>\u221a2<\/td>2<\/td>\u221e<\/td>-1<\/td>\u221e<\/td>1<\/td><\/tr>
Cosec \u03b8<\/td>\u221e<\/td>2<\/td>\u221a2<\/td>2\/\u221a3<\/td>1<\/td>\u221e<\/td>-1<\/td>\u221e<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

Also Read: How to Improve Aptitude Skills for CAT Exam?<\/a><\/strong><\/p>\n\n\n\n

Definitions and Fundamental Identities of CAT Trigonometry<\/h2>\n\n\n\n

Note the table below to get an idea of the fundamental identities which you need to know to solve CAT Trigonometry Questions.<\/p>\n\n\n\n

Parameter<\/strong><\/td>Details<\/strong><\/td><\/tr>
Reciprocal Identities<\/td>sin \u03b8 = 1\/(cos \u03b8)
csc \u03b8 = 1\/(sin \u03b8)
cos \u03b8 = 1\/(sec \u03b8)
sec \u03b8 = 1\/(cos \u03b8)
tan \u03b8 = 1\/(cot \u03b8)
cot \u03b8 = 1\/(tan \u03b8)<\/td><\/tr>
Quotient Identities<\/td>tan \u03b8 = (sin \u03b8)\/(cos \u03b8)
cot \u03b8 = (cos \u03b8)\/(sin \u03b8)<\/td><\/tr>
Pythagorean Identities<\/td>sin\u00b2\u03b8 + cos\u00b2\u03b8 = 1
tan2\u03b8 + 1 = sec2\u03b8
cot2\u03b8 + 1 = cosec2\u03b8
sin 2\u03b8 = 2 sin \u03b8 cos \u03b8
cos 2\u03b8 = cos\u00b2\u03b8 \u2013 sin\u00b2\u03b8
tan 2\u03b8 = 2 tan \u03b8 \/ (1 \u2013 tan\u00b2\u03b8)
cot 2\u03b8 = (cot\u00b2\u03b8 \u2013 1) \/ 2 cot \u03b8<\/td><\/tr>
Negative Angle Identities<\/td>sin(\u2212\u03b8) = \u2212 sin \u03b8
cos(\u2212\u03b8) = cos \u03b8
tan(\u2212\u03b8) = \u2212 tan \u03b8
sec(\u2212\u03b8) = sec \u03b8
cot(\u2212\u03b8) = \u2212 cot \u03b8<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n
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