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College Mathematics Questions And Answers Pdf

College Math Multiple Choice Questions and Answers (MCQs): Quizzes & Practice Tests with Answer Key (College Math Worksheets & Quick Study Guide)


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College Math Multiple Choice Questions and Answers (MCQs): Quizzes & Practice Tests with Answer Key PDF, College Math Worksheets & Quick Study Guide covers exam review worksheets for problem solving with 800 solved MCQs. College Math MCQ with answers PDF covers basic concepts, theory and analytical assessment tests. College Math Quiz PDF book helps to practice test questions from exam prep notes.

College math quick study guide provides 800 verbal, quantitative, and analytical reasoning past question papers, solved MCQs. College Math Multiple Choice Questions and Answers (MCQs) PDF download, a book covers trivia quiz questions and answers on chapters: Application of basic identities, double angle identities, functions and limits, fundamentals of trigonometry, matrices and determinants, number system, partial fractions, permutations, combinations and probability, quadratic equations, sequences and series, sets, functions and groups, trigonometric functions and graphs, trigonometric identities, trigonometric ratios of allied angles worksheets for college and university revision guide. College Math Quiz Questions and Answers PDF download with free sample test covers beginner's questions, exam's workbook, and certification exam prep with answer key.

College Math MCQ PDF book, a quick study guide from textbooks and lecture notes covers exam practice test questions. College Math worksheets with answers key covers problem solving in self-assessment workbook from math textbook chapters as:

Chapter 1 Worksheet: Application of Basic Identities MCQs
Chapter 2 Worksheet: Double Angle Identities MCQs
Chapter 3 Worksheet: Functions and Limits MCQs
Chapter 4 Worksheet: Fundamentals of Trigonometry MCQs
Chapter 5 Worksheet: Matrices and Determinants MCQs
Chapter 6 Worksheet: Number System MCQs
Chapter 7 Worksheet: Partial Fractions MCQs
Chapter 8 Worksheet: Permutations, Combinations and Probability MCQs
Chapter 9 Worksheet: Quadratic Equations MCQs
Chapter 10 Worksheet: Sequences and Series MCQs
Chapter 11 Worksheet: Sets, Functions and Groups MCQs
Chapter 12 Worksheet: Trigonometric Functions and Graphs MCQs
Chapter 13 Worksheet: Trigonometric Identities MCQs
Chapter 14 Worksheet: Trigonometric Ratios of Allied Angles MCQs

Solve Fundamentals of Trigonometry MCQ questions and answers PDF, MCQ practice test on Trigonometric function, fundamental identities, trigonometry formulas, algebra and trigonometry, measurements conversion, radian to degree conversion, radians to degrees, and trigonometry problems.
Solve Matrices and Determinants MCQ questions and answers PDF, MCQ practice test on Introduction to matrices and determinants, rectangular matrix, row matrix, skew-symmetric and symmetric matrix, addition of matrix, adjoint and inverse of square matrix, column matrix, homogeneous linear equations, and multiplication of a matrix.
Solve Partial Fractions MCQ questions and answers PDF, MCQ practice test on Introduction of partial fractions, rational fractions, resolution of a rational fraction into partial fraction, when q(x) has non-repeated irreducible quadratic factors, when q(x) has non-repeated linear factors, and when q(x) has repeated linear factors.
Solve Permutations, Combinations and Probability MCQ questions and answers PDF, MCQ practice test on Introduction to permutations, combinations, probability, circular permutation, complementary combination, and examples of permutation.
Solve Sequences and Series MCQ questions and answers PDF, MCQ practice test on Introduction of sequences and series, arithmetic mean and progression, geometric mean, harmonic mean and progression, infinite geometric series, relation b/w AM, GM and HM, sigma notation, and sum of n terms of a geometric series.
Solve Trigonometric Identities MCQ questions and answers PDF, MCQ practice test on Basic trigonometric identities, formulas, and function, sine cosine tangent,

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About the author

Arshad Iqbal received his degrees, Bachelors in Engineering (1993, Honors) and Masters in Engineering (2002, Honors). He started his career from a college teaching and then he was associate professor in a university in computer science from 1996 to 2015 with a research in algorithms, Ad Hoc Networks and ERP systems. He also taught many courses in multiple universities as a visiting professor. With a 19 years of professional and teaching experience, he authored many books for students to help in their academics. He is also a peer reviewer of research publications in different journals and conference proceedings.Being a software engineer, currently he is providing consultancy services in web development and Hadoop systems. He has excellent managerial skills to lead a team.


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College Math Multiple Choice Questions and Answers (MCQs) - Arshad Iqbal

College Math MCQs

Multiple Choice Questions and Answers (Quiz & Tests with Answer Keys)

By Arshad Iqbal

Table of Contents

Chapter 1: Application of Basic Identities MCQs

Chapter 2: Double Angle Identities MCQs

Chapter 3: Functions and Limits MCQs

Chapter 4: Fundamentals of Trigonometry MCQs

Chapter 5: Matrices and Determinants MCQs

Chapter 6: Number System MCQs

Chapter 7: Partial Fractions MCQs

Chapter 8: Permutations, Combinations and Probability MCQs

Chapter 9: Quadratic Equations MCQs

Chapter 10: Sequences and Series MCQs

Chapter 11: Sets, Functions and Groups MCQs

Chapter 12: Trigonometric Functions and Graphs MCQs

Chapter 13: Trigonometric Identities MCQs

Chapter 14: Trigonometric Ratios of Allied Angles MCQs

Answer Keys

Chapter 1

Application of Basic Identities Multiple Choice Questions

MCQ 1: tan(45°+A)tan(45°-A) =

A. 1

B. tanA

C. −tanA

D. −cotA

MCQ 2: tan(180°+θ) =

A. cotθ

B. tanθ

C. sinθ

D. None of Above

MCQ 3: sin(θ+270°) =

A. cotθ

B. tanθ

C. sinθ

D. −cosθ

MCQ 4: 3sinθ+4cosθ =

A. 5cos(θ+tan-14/3)

B. 5sin(θ+tan-14/3)

C. 5sin(θ+cot-14/3)

D. None of Above

MCQ 5: If α, β, γ are the angles of a triangle ABC, then sin(α + β) =

A. tanγ

B. −cosγ

C. cosγ

D. sinγ

MCQ 6: cos(270°+θ) =

A. cotθ

B. −cotθ

C. sinθ

D. −tanθ

MCQ 7: sin(α + β)sin(α - β) =

A. sinα-sinβ

B. sinα-sinβ

C. sin²α+sin²β

D. sin²α-sin²β

MCQ 8: sinθ-cosθtanθ/2/cosθ+sinθtanθ/2 =

A. tanθ/2

B. −tanθ/2

C. cotθ/2

D. None of Above

MCQ 9: 1 - tanθtanphi/1 + tanθtanphi =

A. cos(θ+phi)

B. cos(θ-phi)

C. cos(θ+phi)/cos(θ-phi)

D. None of Above

MCQ 10: sin(45°+α) =

A. sinα+cosα

B. sinα-cosα

C. 1/√(2)(sinα+cosα)

D. None of Above

MCQ 11: cos(180°+θ) =

A. 0

B. −cosθ

C. cosθ

D. sinθ

MCQ 12: sin(180° +θ) =

A. sinθ

B. −cosθ

C. cosθ

D. −sinθ

MCQ 13: sin(α + β)sin(α - β) =

A. sinα-sinβ

B. sinα-sinβ

C. sin²α+sin²β

D. cos²β-cos²α

MCQ 14: cos(360°-θ) =

A. cosθ

B. tanθ

C. sinθ

D. None of Above

MCQ 15: If α,β,γ are the angles of a triangle ABC, then cos(α + β) =

A. sinγ

B. −cosγ

C. cosγ

D. −sinγ

MCQ 16: tan(270°-θ) =

A. cotθ

B. −cotθ

C. tanθ

D. −tanθ

MCQ 17: cos11°+sin11°/cos11°-sin11° =

A. tan56°

B. −tan56°

C. −cot56°

D. cot56°

MCQ 18: tan(π/4 -θ)+tan(3π/4 + θ) =

A. 2tanθ

B. 2

C. 1

D. 0

MCQ 19: cos(θ-180°) =

A. cotθ

B. −cotθ

C. tanθ

D. −cosθ

MCQ 20: cos(45°+α) =

A. sinα+cosα

B. sinα-cosα

C. 1/√(2(cosα-sinα)

D. None of Above

Chapter 2

Double Angle Identities Multiple Choice Questions

MCQ 1: cot(α + β) =

A. cotαcotβ-1/cotα+cotβ

B. cotαcotβ+1/cotα-cotβ

C. cotαcotβ+1/cotα+cotβ

D. None of Above

MCQ 2: cos(α + β)cos(α - β) =

A. cos²α-sin²β

B. sin²α-cos²β

C. 2cosα

D. 2sinα

MCQ 3: cosecθ+2cosec2θ/secθ =

A. tanα/2

B. −tanα/2

C. −cotα/2

D. cotα/2

MCQ 4: 1 + tanαtan2α =

A. −sec2α

B. −cosec2α

C. cosec2α

D. sec2α

MCQ 5: 1 - cosα/sinα =

A. tanα/2

B. −tanα/2

C. −cotα/2

D. None of Above

MCQ 6: sin3θ/sinθ -cos3θ/cosθ =

A. 2

B. 1

C. 0

D. secθ

MCQ 7: cotα-tanα =

A. −2tan2α

B. 2tan2α

C. −2cot2α

D. 2cot2α

MCQ 8: tanα+tanβ/tanα-tanβ =

A. cos(α + β)/cos(α - β)

B. cos(α - β)/cos(α + β)

C. sin(α + β)/sin(α - β)

D. None of Above

MCQ 9: cos(α + β) + cos(α - β)/sin(α + β) + sin(α - β) =

A. sin²α-cos²β

B. −cotα

C. cotα

D. tanα

MCQ 10: tanθ/2+cotθ/2/cotθ/2 - tanθ/2 =

A. −secθ

B. −cosθ

C. cosθ

D. secθ

MCQ 11: sinα/1 - cosα =

A. tanα/2

B. −tanα/2

C. −cotα/2

D. cotα/2

MCQ 12: sinA+sin2A/1+ cosA+cos2A =

A. tan3A

B. cot3A

C. tan2A

D. tanA

MCQ 13: tanθ/2-cotθ/2/cotθ/2 - tanθ/2 =

A. sinθ

B. −cosθ

C. cosθ

D. cosθ

MCQ 14: cot(α - β) =

A. cotαcotβ-1/cotα+cotβ

B. cotαcotβ+1/cotα-cotβ

C. cotαcotβ+1/cotα+cotβ

D. None of Above

MCQ 15: cosα-sinα/cosα+sinα

A. sec2α+tan2α

B. sec2α-tan2α

C. csc2α-cot2α

D. csc2α+cot2α

MCQ 16: sin(α + β) + sin(α - β)/cos(α + β) + cos(α - β) =

A. sin²α-cos²β

B. −cotα

C. cotα

D. tanα

MCQ 17: cos(α + β)cos(α - β) =

A. cos²α-sin²β

B. sin²α-cos²β

C. 2cosα

D. 2sinα

MCQ 18: sin3θ/sinθ +cos3θ/cosθ =

A. 2cos2θ

B. 4cos2θ

C. cos2θ

D. 2cos4θ

MCQ 19: sin2θ/sinθ -cos2θ/cosθ =

A. 2

B. 1

C. 0

D. secθ

Chapter 3

Functions and Limits Multiple Choice Questions

MCQ 1: coth(x) =

A. ex + e-x/2

B. ex - e-x/2

C. ex - e-x/ex + e-x

D. ex + e-x/ex - e-x

MCQ 2: If y is expressed in terms of a variable x as Y = ƒ(x), then y is called

A. explicit function

B. implicit function

C. linear function

D. identity function

MCQ 3: tanh-1x =

A. ln(x+√(x² +1)

B. ln(x+√(x² +1)

C. 1/2ln(1+x/1-x)

D. 1/2ln(x+1/x-1)

MCQ 4: cosh-1x =

A. ln(x+√(x² +1))

B. ln(x+√(x² +1))

C. 1/2ln(1+x/1-x)

D. 1/2ln(x+1/x-1)

MCQ 5: If ƒ(x) = xsecx, then ƒ(0) =

A. −1

B. 0

C. 1

D. √(2)

MCQ 6: ƒ(x) = sin(x) is

A. linear function

B. quadratic function

C. odd function

D. even function

MCQ 7: If y is an image of x under the function f, we write it as

A. x = ƒ(y)

B. y ≠ ƒ(x)

C. y = ƒ(x)

D. y = x

MCQ 8: If ƒ(x) = tan-1 and g(x) = tan(x), then (gof)(x) =

A. tan-1xtan(x)

B. tan-1xcot(x)

C. x

D. tan-1xsin(x)

MCQ 9: Equations x

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