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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 12: Graph of Trigonometric and Inverse Trigonometric Functions and Solutions of Trigonometric Equations @fsc:kpk_fsc_part_1
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====== Chapter 12: Graph of Trigonometric and Inverse Trigonometric Functions and Solutions of Trigonometric Equations ====== Notes of Chapter 12: Graph of Trigonometric and Inverse Trigonometric Functions and Solutions
Question 1, Exercise 10.1 @fsc-part1-kpk:sol:unit10
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utions of Question 1 of Exercise 10.1 of Unit 10: Trigonometric Identities of Sum and Difference of Angles. This ... Question 1. ===== Question 1(i) ===== Write as a trigonometric function of a single angle. $\sin {{37}^{\circ }}... nd{align} ===== Question 1(ii)===== Write as a trigonometric function of a single angle. $\cos {{83}^{\circ }}... {align}. ===== Question 1(iii)===== Write as a trigonometric function of a single angle. $\cos {{19}^{\circ }}
Question 1, Exercise 10.1 @math-11-kpk:sol:unit10
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utions of Question 1 of Exercise 10.1 of Unit 10: Trigonometric Identities of Sum and Difference of Angles. This ... Question 1. ===== Question 1(i) ===== Write as a trigonometric function of a single angle. $\sin {{37}^{\circ }}... nd{align} ===== Question 1(ii)===== Write as a trigonometric function of a single angle. $\cos {{83}^{\circ }}... {align}. ===== Question 1(iii)===== Write as a trigonometric function of a single angle. $\cos {{19}^{\circ }}
FSc Part 1 Mathematics Notes/Solutions @fsc-part1-ptb
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=Formula pages/handouts==== * **[[fsc-part1-ptb:trigonometric-formulas|Trigonometric Formulas]]** * **[[FSc:FSc Part 1 Trigonometric Review|Trigonometric Review]]** by Mr. Aqeel Nawaz * **[[FSc:FSc Part 1 Solution & Area of Oblique Triangle|S
FSc Part 1 Mathematics Notes/Solutions @fsc
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=Formula pages/handouts==== * **[[fsc-part1-ptb:trigonometric-formulas|Trigonometric Formulas]]** * **[[FSc:FSc Part 1 Trigonometric Review|Trigonometric Review]]** by Mr. Aqeel Nawaz * **[[FSc:FSc Part 1 Solution & Area of Oblique Triangle|S
Chapter 09: Fundamentals of Trigonometry @fsc:fsc_part_1_solutions
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nal Angle) * Angle in the Standard Position * Trigonometric Function * Trigonometric Function of any Angle * Fundamental Identities * Signs of the Trigonometric Function * Exercise 9.2 * The Values of Trigonometric Functions of acute angles $45^\circ , 30^\circ , 60^
Chapter 11: Trigonometric Functions and their Graphs @fsc:fsc_part_1_solutions
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====== Chapter 11: Trigonometric Functions and their Graphs ====== {{ :fsc:fsc_part_1_solutions:fsc-1-chap-11-ptb.jpg?nolink|Chapter 11: Trigonometric Functions and their Graphs}} Notes (Solutions) of Chapter 11: Trigonometric Functions and their Graphs, Text Book of Algebra ... main and Range of Cosecant Function * Period of Trigonometric Functions * Exercise 11.1 * Values of Trigo
Question 1,Review Exercise @math-11-nbf:sol:unit09
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ions of Question 1 of Review Exercise of Unit 09: Trigonometric Functions. This is unit of Model Textbook of Math... rac{1}{2}$</collapse> ii. The exact value of the trigonometric function $\tan (-15 \pi)=$\\ * (a) $ 0$\\ * (b)... $\theta=45^{\circ}$, then the value of the given trigonometric identity is:\\ * (a) $\frac{1}{\sqrt{2}}$\\ * (... psed="true">(a):$\cos \theta$ </collapse> v. The trigonometric identity $\dfrac{\sin \alpha + \sin 2\alpha}{1+ \
FSc
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Pages ===== ====Part 1==== * **[[fsc-part1-ptb:trigonometric-formulas]]** * **[[FSc:FSc Part 1 Trigonometric Review|Trigonometric Review]]** by Mr. Aqeel Nawaz * **[[FSc:FSc Part 1 Solution & Area of Oblique Triangle|S... ue Triangle]]** * **[[FSc:FSc Part 1 Important Trigonometric Formulae|Important Trigonometric Formulae]]** (by
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
Chapter 10: Trigonometric Identities of Sum and Difference of Angles @fsc:kpk_fsc_part_1
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====== Chapter 10: Trigonometric Identities of Sum and Difference of Angles ====== Notes of Chapter 10: Trigonometric Identities of Sum and Difference of Angles of "A ... es. {{gview noreference>:fsc:kpk_fsc_part_1:ch10-trigonometric-identities-of-sum-and-difference-of-angles-fsc1-kpk.pdf}} **{{:fsc:kpk_fsc_part_1:ch10-trigonometric-identities-of-sum-and-difference-of-angles-fsc1-k
Question 1, Exercise 9.1 @math-11-nbf:sol:unit09
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lutions of Question 1 of Exercise 9.1 of Unit 09: Trigonometric Functions. This is unit of Model Textbook of Math... )===== Find the maximum and minimum values of the trigonometric function: $y=2-2 \operatorname{Cos} \theta$ ** S... )===== Find the maximum and minimum values of the trigonometric function: $y=\dfrac{2}{3}-\dfrac{1}{2} \operatorn... )===== Find the maximum and minimum values of the trigonometric function: $y=\dfrac{1}{5}-2 \operatorname{Sin}(3
Question 2, Exercise 9.1 @math-11-nbf:sol:unit09
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lutions of Question 2 of Exercise 9.1 of Unit 09: Trigonometric Functions. This is unit of Model Textbook of Math... the maximum and minimum values of the reciprocal trigonometric function: $y=\dfrac{1}{4+3 \operatorname{Sin} \th... the maximum and minimum values of the reciprocal trigonometric function: $y=\dfrac{1}{\frac{1}{2}-5 \operatornam... the maximum and minimum values of the reciprocal trigonometric function: $y=\dfrac{1}{\frac{1}{3}-4 \sin (2 \the
Definitions: FSc Part1 KPK @fsc-part1-kpk
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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.
Trigonometric Formulas @fsc-part1-ptb
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Trigonometric Review @fsc
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Definitions: FSc Part1 KPK @math-11-kpk
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FBISE Annual 2009 @fsc:fsc_part_1_old_papers
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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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Unit 09: Trigonometric Functions @math-11-nbf:sol
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CHEM-501: Basic Mathematics for Chemist @atiq
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Formula Pages @bsc
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Important Questions: HSSC-I @fsc-part1-ptb
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Trigonometric Formulas (New Edition) @fsc-part1-ptb
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Important Trigonometric Formulae @fsc
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FSc Part 2 (KPK Boards) @fsc
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Unit 01: Functions and Limits @fsc:fsc_part_2_solutions
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MTH322: Real Analysis II (Fall 2016) @atiq
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MTH322: Real Analysis II (Fall 2017) @atiq
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MTH103: Exploring Quantitative Skills @atiq
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MATH-301: Complex Analysis @atiq
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MTH322: Real Analysis II (Spring 2017) @atiq
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Unit 02: Differentiation @fsc:fsc_part_2_solutions
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Question 3, Review Exercise @math-11-nbf:sol:unit08
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Khuram Ali Khan
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MTH322: Real Analysis II (Fall 2015) @atiq
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MTH322: Real Analysis II (Fall 2018) @atiq
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MTH322: Real Analysis II (Fall 2019) @atiq
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MTH322: Real Analysis II (Fall 2020) @atiq
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MTH322: Real Analysis II (Fall 2021) @atiq
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MATH-300: Basic Mathematics for Chemist @atiq
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MATH-505: Complex Analysis @atiq
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MTH322: Real Analysis II (Spring 2016) @atiq
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MTH322: Real Analysis II (Spring 2019) @atiq
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MTH322: Real Analysis II (Spring 2022) @atiq
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MTH322: Real Analysis II (Spring 2023) @atiq
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Solution and Area of Oblique Triangle @fsc-part1-ptb
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PPSC Paper 2021 (Lecturer in Mathematics) @ppsc
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MCQs: Ch 01 Number Systems @fsc-part1-ptb:mcq-bank
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Unit 08: Fundamental of Trigonometry @math-11-nbf:sol
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Question 2, 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 5, 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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Question 8, Exercise 10.1 @fsc-part1-kpk:sol:unit10
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Question 9 and 10, 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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Question 13, Exercise 10.1 @fsc-part1-kpk:sol:unit10
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Question 1, 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 3, 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 6, 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 8 and 9, Exercise 10.2 @fsc-part1-kpk:sol:unit10
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Question 1, 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 3, 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 5, Exercise 10.3 @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, 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 5, 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 7, 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 9 and 10, 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 13, Exercise 10.1 @math-11-kpk:sol:unit10
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Question 1, 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 3, 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 6, 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 8 and 9, Exercise 10.2 @math-11-kpk:sol:unit10
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Question 1, Exercise 10.3 @math-11-kpk:sol:unit10
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Question 2, Exercise 10.3 @math-11-kpk:sol:unit10
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Question 3, Exercise 10.3 @math-11-kpk:sol:unit10
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Question 5, Exercise 10.3 @math-11-kpk:sol:unit10
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Question 5, Exercise 10.3 @math-11-kpk:sol:unit10
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Question 1, Review Exercise 10 @math-11-kpk:sol:unit10
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Question 4 & 5, Review Exercise 10 @math-11-kpk:sol:unit10
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Question 6 & 7, Review Exercise 10 @math-11-kpk:sol:unit10
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Question 8 & 9, Review Exercise 10 @math-11-kpk:sol:unit10
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Question 3, Exercise 9.1 @math-11-nbf:sol:unit09
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Question 4(i-iv), Exercise 9.1 @math-11-nbf:sol:unit09
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Question 4(v-viii), Exercise 9.1 @math-11-nbf:sol:unit09
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Question 5(i-v), Exercise 9.1 @math-11-nbf:sol:unit09
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Question 5(vi-x), Exercise 9.1 @math-11-nbf:sol:unit09
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Question 6, Exercise 9.1 @math-11-nbf:sol:unit09
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Question 7 & 8, Exercise 9.1 @math-11-nbf:sol:unit09
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Question 9, Exercise 9.1 @math-11-nbf:sol:unit09
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Question 10, Exercise 9.1 @math-11-nbf:sol:unit09
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Question 2 and 3,Review Exercise @math-11-nbf:sol:unit09
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Question 4, Review Exercise @math-11-nbf:sol:unit09
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Question 4, Review Exercise @math-11-nbf:sol:unit09
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Question 7, Review Exercise @math-11-nbf:sol:unit09
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Question 8, Review Exercise @math-11-nbf:sol:unit09
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Question 9, Review Exercise @math-11-nbf:sol:unit09
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