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FSc/ICS Part 1 (Mathematics): PTB
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===== Formula Pages ===== * **[[fsc-part1-ptb:trigonometric-formulas]]** UPD * **[[FSc:FSc Part 1 Trigonometric Review|Trigonometric Review]]** by Mr. Aqeel Nawaz * **[[fsc-part1-ptb:solution-and-area-of-oblique-triangle]]** UPD * **[[FSc:FSc Part 1 Important Trigonometric Formulae|Important Trigonometric Formulae]]** (by
Important Questions: HSSC-I @fsc-part1-ptb
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y]] * [[fsc-part1-ptb:important-questions:ch10-trigonometric-identities ]] * [[fsc-part1-ptb:important-questions:ch11-trigonometric-functions-and-their-graphs ]] * [[fsc-part1-pt... c-part1-ptb:important-questions:ch14-solutions-of-trigonometric-equation ]] =====Short Term Preparation=====
Definitions: FSc Part 1 (Mathematics): PTB @fsc-part1-ptb
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ystem.\\ e.g. $16^\circ 13' 9''$ * **Period of Trigonometric Function:** The smallest +ve number which when ad... escribed circle or ex-circle or e-circle. * **Trigonometric function:** The equation, containing at least one trigonometric function, are called trigonometric function. <HTML> <center><p> <span class="bs-wrap bs-wrap-button" data-btn-
Question 1, Review Exercise 10 @math-11-kpk:sol:unit10
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s of Question 1 of Review Exercise 10 of Unit 10: Trigonometric Identities of Sum and Difference of Angles. This
FSc Part 1 (KPK Boards) @fsc
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ing|Online view]]** </callout> ===== Chapter 10: Trigonometric Identities of Sum and Difference of Angles ===== ... fundamental law of trigonometry and deduction of trigonometric identities from it. * understand trigonometric ratios and allied angles. * use fundamental law and its deduction to derive trigonometric ratios of allied angles. * derive double, half
Chapter 01: Complex Numbers @bsc:notes_of_mathematical_method
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ions * Inverse hyperbolic functions * Inverse trigonometric functions * Complex power * Summation of seri
Question 8 & 9, Review Exercise 10 @math-11-kpk:sol:unit10
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Question 8 & 9 of Review Exercise 10 of Unit 10: Trigonometric Identities of Sum and Difference of Angles. This
Question 6 & 7, Review Exercise 10 @math-11-kpk:sol:unit10
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Question 6 & 7 of Review Exercise 10 of Unit 10: Trigonometric Identities of Sum and Difference of Angles. This
Question 2 and 3, Review Exercise 10 @math-11-kpk:sol:unit10
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uestion 2 and 3 of Review Exercise 10 of Unit 10: Trigonometric Identities of Sum and Difference of Angles. This
Question 4 & 5, Review Exercise 10 @math-11-kpk:sol:unit10
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Question 4 & 5 of Review Exercise 10 of Unit 10: Trigonometric Identities of Sum and Difference of Angles. This
Question 5, Exercise 10.3 @math-11-kpk:sol:unit10
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utions of Question 5 of Exercise 10.3 of Unit 10: Trigonometric Identities of Sum and Difference of Angles. This
Question 5, Exercise 10.3 @math-11-kpk:sol:unit10
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utions of Question 5 of Exercise 10.3 of Unit 10: Trigonometric Identities of Sum and Difference of Angles. This
Question 3, Exercise 10.3 @math-11-kpk:sol:unit10
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utions of Question 3 of Exercise 10.3 of Unit 10: Trigonometric Identities of Sum and Difference of Angles. This
Question 2, Exercise 10.3 @math-11-kpk:sol:unit10
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utions of Question 2 of Exercise 10.3 of Unit 10: Trigonometric Identities of Sum and Difference of Angles. This
Question 1, Exercise 10.3 @math-11-kpk:sol:unit10
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utions of Question 1 of Exercise 10.3 of Unit 10: Trigonometric Identities of Sum and Difference of Angles. This
Question 8 and 9, Exercise 10.2 @math-11-kpk:sol:unit10
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Question 7, Exercise 10.2 @math-11-kpk:sol:unit10
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Question 6, Exercise 10.2 @math-11-kpk:sol:unit10
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Question 4 and 5, Exercise 10.2 @math-11-kpk:sol:unit10
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Question 3, Exercise 10.2 @math-11-kpk:sol:unit10
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Question 2, Exercise 10.2 @math-11-kpk:sol:unit10
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Question 1, Exercise 10.2 @math-11-kpk:sol:unit10
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Question 9 and 10, Exercise 10.1 @math-11-kpk:sol:unit10
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Question 8, Exercise 10.1 @math-11-kpk:sol:unit10
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Question 7, Exercise 10.1 @math-11-kpk:sol:unit10
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Question 6, Exercise 10.1 @math-11-kpk:sol:unit10
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Question 5, Exercise 10.1 @math-11-kpk:sol:unit10
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Question 3, Exercise 10.1 @math-11-kpk:sol:unit10
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Question, Exercise 10.1 @math-11-kpk:sol:unit10
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Question 2, Exercise 10.1 @math-11-kpk:sol:unit10
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Question 13, Exercise 10.1 @math-11-kpk:sol:unit10
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Question11 and 12, Exercise 10.1 @math-11-kpk:sol:unit10
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Question 1, Exercise 10.1 @math-11-kpk:sol:unit10
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Unit 10: Trigonometric Identities of Sum and Difference of Angles (Solutions) @math-11-kpk:sol
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Definitions: FSc Part1 KPK @math-11-kpk
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MTH103: Exploring Quantitative Skills @atiq
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Solution and Area of Oblique Triangle @fsc-part1-ptb
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Khuram Ali Khan
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Question 8 & 9, Review Exercise 10 @fsc-part1-kpk:sol:unit10
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Question 6 & 7, Review Exercise 10 @fsc-part1-kpk:sol:unit10
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Question 4 & 5, Review Exercise 10 @fsc-part1-kpk:sol:unit10
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Question 1, Review Exercise 10 @fsc-part1-kpk:sol:unit10
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Question 2 and 3, Review Exercise 10 @fsc-part1-kpk:sol:unit10
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Question 8, Exercise 10.1 @fsc-part1-kpk:sol:unit10
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Question 2, Exercise 10.1 @fsc-part1-kpk:sol:unit10
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Unit 10: Trigonometric Identities of Sum and Difference of Angles (Solutions) @fsc-part1-kpk:sol
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Question 5, Exercise 10.3 @fsc-part1-kpk:sol:unit10
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Question 5, Exercise 10.3 @fsc-part1-kpk:sol:unit10
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Question 3, Exercise 10.3 @fsc-part1-kpk:sol:unit10
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Question 2, Exercise 10.3 @fsc-part1-kpk:sol:unit10
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Question 1, Exercise 10.3 @fsc-part1-kpk:sol:unit10
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Question 8 and 9, Exercise 10.2 @fsc-part1-kpk:sol:unit10
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Question 7, Exercise 10.2 @fsc-part1-kpk:sol:unit10
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Question 4 and 5, Exercise 10.2 @fsc-part1-kpk:sol:unit10
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Question 3, Exercise 10.2 @fsc-part1-kpk:sol:unit10
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Question 2, Exercise 10.2 @fsc-part1-kpk:sol:unit10
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Question 1, Exercise 10.2 @fsc-part1-kpk:sol:unit10
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Question 5, Exercise 10.1 @fsc-part1-kpk:sol:unit10
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Question 6, Exercise 10.2 @fsc-part1-kpk:sol:unit10
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Definitions: FSc Part1 KPK @fsc-part1-kpk
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Question 9 and 10, Exercise 10.1 @fsc-part1-kpk:sol:unit10
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Question 13, Exercise 10.1 @fsc-part1-kpk:sol:unit10
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Question 1, Exercise 10.1 @fsc-part1-kpk:sol:unit10
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Question 3, Exercise 10.1 @fsc-part1-kpk:sol:unit10
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Question, Exercise 10.1 @fsc-part1-kpk:sol:unit10
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Question 6, Exercise 10.1 @fsc-part1-kpk:sol:unit10
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Question 7, Exercise 10.1 @fsc-part1-kpk:sol:unit10
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Question11 and 12, Exercise 10.1 @fsc-part1-kpk:sol:unit10
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FSc Part 1 Mathematics Notes/Solutions @fsc-part1-ptb
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FSc Part 1 Mathematics Notes/Solutions @fsc
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MTH322: Real Analysis II (Spring 2023) @atiq
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Chapter 09: Fundamentals of Trigonometry @fsc:fsc_part_1_solutions
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Unit 01: Functions and Limits @fsc:fsc_part_2_solutions
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MATH-300: Basic Mathematics for Chemist @atiq
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FSc
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Trigonometric Formulas @fsc-part1-ptb
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PPSC Paper 2021 (Lecturer in Mathematics) @ppsc
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MTH322: Real Analysis II (Spring 2022) @atiq
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MTH322: Real Analysis II (Fall 2021) @atiq
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Ch 09: Fundamental of Trigonometry @fsc-part1-ptb:important-questions
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View Online (Solutions of Chapter 14) @fsc:fsc_part_1_solutions:ch14
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Ch 14: Solutions of Trigonometric Equation @fsc:fsc_part_1_solutions:ch14
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View Online (Solutions of Chapter 13) @fsc:fsc_part_1_solutions:ch13
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Ch 13: Inverse Trigonometric Functions: Mathematics FSc Part 1 @fsc:fsc_part_1_solutions:ch13
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View Online (Solutions of Chapter 11) @fsc:fsc_part_1_solutions:ch11
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Ch 10: Trigonometric Identities: Mathematics FSc Part 1 @fsc:fsc_part_1_solutions:ch10
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View Online (Solutions of Chapter 10) @fsc:fsc_part_1_solutions:ch10
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Syllabus & Paper Pattern for General Mathematics (Split Program) @bsc:paper_pattern:punjab_university
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MCQs: Ch 01 Number Systems @fsc-part1-ptb:mcq-bank
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Ch 14: Solutions of Trigonometric Equation @fsc-part1-ptb:important-questions
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Ch 11: Trigonometric Functions and Their Graphs @fsc-part1-ptb:important-questions
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Ch 10: Trigonometric Identities @fsc-part1-ptb:important-questions
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Chapter 12: Graph of Trigonometric and Inverse Trigonometric Functions and Solutions of Trigonometric Equations @fsc:kpk_fsc_part_1
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Chapter 10: Trigonometric Identities of Sum and Difference of Angles @fsc:kpk_fsc_part_1
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Unit 02: Differentiation @fsc:fsc_part_2_solutions
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Chapter 14: Solutions of Trigonometric Equation @fsc:fsc_part_1_solutions
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Chapter 13: Inverse Trigonometric Functions @fsc:fsc_part_1_solutions
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Chapter 12: Application of Trigonometry @fsc:fsc_part_1_solutions
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Chapter 11: Trigonometric Functions and their Graphs @fsc:fsc_part_1_solutions
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Chapter 10: Trigonometric Identities @fsc:fsc_part_1_solutions
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FBISE Annual 2011 @fsc:fsc_part_1_old_papers
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FBISE Annual 2012 @fsc:fsc_part_1_old_papers
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FBISE Annual 2009 @fsc:fsc_part_1_old_papers
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Chapter 04: Techniques of Integration @bsc:notes_of_calculus_with_analytic_geometry
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Chapter 04: Techniques of Integration @bsc:notes_of_calculus_with_analytic_geometry
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Chapter 02: The Derivative @bsc:notes_of_calculus_with_analytic_geometry
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Trigonometric Formulas (Edition-4) @fsc-part1-ptb
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FSc Part 2 (KPK Boards) @fsc
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Chap 04: Formulas Introduction to Analytics Geometry @fsc
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Trigonometric Review @fsc
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Important Trigonometric Formulae @fsc
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Formula Pages @bsc
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MTH322: Real Analysis II (Spring 2019) @atiq
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MTH322: Real Analysis II (Spring 2017) @atiq
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MTH322: Real Analysis II (Spring 2016) @atiq
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MATH-505: Complex Analysis @atiq
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MATH-301: Complex Analysis @atiq
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MTH322: Real Analysis II (Fall 2020) @atiq
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MTH322: Real Analysis II (Fall 2019) @atiq
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MTH322: Real Analysis II (Fall 2018) @atiq
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MTH322: Real Analysis II (Fall 2017) @atiq
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MTH322: Real Analysis II (Fall 2015) @atiq
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MTH322: Real Analysis II (Fall 2016) @atiq
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CHEM-501: Basic Mathematics for Chemist @atiq
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