Merging man & maths https://www.mathcity.org/ Thu, 04 Jun 2026 12:05:39 +0000 FeedCreator 1.8 https://www.mathcity.org/_media/logo.svg https://www.mathcity.org/ https://www.mathcity.org/fsc-part1-ptb/sol FSc Part 1 Mathematics Notes/Solutions [FSc Part1 PTB Book Cover] Notes (Solutions) of Textbook of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Textbook Board (PTB) Lahore. There are fourteen chapters in this book and we have work hard to make easy and suitable solution for students and teachers so that it help them learn things quickly and easily. Please click on a desire chapter to view the solution of any particular exercise. This work is licensed under a Cre… anonymous@undisclosed.example.com (Anonymous) Tue, 08 Aug 2023 17:59:03 +0000 https://www.mathcity.org/fsc-part1-ptb/definitions Definitions: FSc Part 1 (Mathematics): PTB On this page, all the definitions of “Textbook of Algebra and Trigonometry Class XI, published by Punjab Textbook Board (PTB) Lahore, Pakistan are given. We are very thankful to Muhammad Waqas Sulaiman for his valuable contribution.$\frac{p}{q}$$p,q \in \mathbb{Z}$$q\neq 0$$\frac{p}{q}$$p,q \in \mathbb{Z}$$q\neq 0$$\mathbb{R}$$0.3333....,21.134134$$\pi = 3.1415...$$\divideontimes$$z=x+iy$$x,y \in \mathbb{R}, i = \sqrt{-1}$$x$$y$$z$$2, 3+\sqrt{3}i, \fra… anonymous@undisclosed.example.com (Anonymous) Sun, 22 Sep 2024 17:12:21 +0000 https://www.mathcity.org/fsc-part1-ptb/trigonometric-formulas Trigonometric Formulas These are the common formulas used in Chapter 9 to 14 of Textbook of Algebra and Trigonometry Class XI, Punjab Textbook Board Lahore. This handout is very helpful to remember the formulas. All these formulas are given for real valued and defined trigonometric functions. A PDF file can be downloaded for high quality printing and a word file is also given if you wish to modify the contents or credit as you need.${{\sin }^{2}}\theta +{{\cos }^{2}}\theta =1$$1+{{\tan }^{2}}\t… anonymous@undisclosed.example.com (Anonymous) Thu, 25 May 2023 02:59:50 +0000 https://www.mathcity.org/fsc-part1-ptb/important-questions Important Questions: HSSC-I [Important Questions FSc/ICS Part 1] These are the important questions for “Textbook of Algebra and Trigonometry Class XI” published by Punjab Textbook Board (PTB) Lahore, Pakistan. These questions are taken from old papers. These are very helpful to understand the types of questions which may asked final paper of mathematics for FSc/ICS (HSSC) Part 1. Lot of energy has been put to collect and write these questions. These are taken from old papers of FBISE Islamabad,… anonymous@undisclosed.example.com (Anonymous) Thu, 18 Apr 2024 08:01:02 +0000 https://www.mathcity.org/fsc-part1-ptb/trignometry-formulas-muzzammil fsc fsc_part1 formula_pages muzzammil_subhan Trigonometric Formulas (New Edition) This page contains all the important trigonometric formulas used in chapter 9 to 14 of FSc Part 1. This page was sent by Muzzammil Subhan. [Download PDF] anonymous@undisclosed.example.com (Anonymous) Sun, 22 Sep 2024 09:02:18 +0000 https://www.mathcity.org/fsc-part1-ptb/important-questions/ch09-fundamentals-of-trigonometry Ch 09: Fundamental of Trigonometry * Find the value of the remaining trigonometric functions of $\theta$, If $cos \theta=\frac{12}{13}$ and the terminal side of the angle is not in the $I$ Quadrant. --- BISE Gujrawala(2015) * Express in radian $120'40''$ --- BISE Gujrawala(2017) * Verify $2 $ $\sin 45^{\circ} +\frac{1}{2}\cos 45^{\circ}=\frac{3}{\sqrt{2}}$$cosce \theta+tan\theta sec \theta=cosec \theta sec^2 \theta$$(tan\theta+cot\theta)^2=sec^2\theta cosec^2\theta$$150^{\circ}$$\theta$$l… anonymous@undisclosed.example.com (Anonymous) Sun, 28 Nov 2021 18:19:36 +0000 https://www.mathcity.org/fsc-part1-ptb/solution-and-area-of-oblique-triangle Solution and Area of Oblique Triangle These are the common formulas used in Chapter 12 of Textbook of Algebra and Trigonometry Class XI, Punjab Textbook Board Lahore. This handout is very helpful to remember the formulas. All these formulas are given for real valued and defined trigonometric functions. A PDF file can be downloaded for high quality printing and a word file is also given if you wish to modify the contents or credit as you need.$a^2=b^2+c^2-2bc\cos \alpha$$b^2=c^2+a^2-2ca\cos \bet… anonymous@undisclosed.example.com (Anonymous) Mon, 25 Sep 2023 15:48:59 +0000 https://www.mathcity.org/fsc-part1-ptb/important-questions/ch10-trigonometric-identities Ch 10: Trigonometric Identities * Prove that (without calculator) $\sin 10^{\circ}\sin 30^{\circ}\sin 50^{\circ}\sin 70^{\circ}=\frac{1}{16}$ --- BISE Gujrawala(2015) * Prove that $\sin(\frac{\pi}{4}-\theta)\sin(\frac{\pi}{4}+\theta)=\frac{1}{2}\csc^2\theta$ --- BISE Gujrawala(2017) * Prove that $\sin(\theta+\frac{\pi}{6})=\cos\theta$ --- BISE Gujrawala(2017) * Using without table or calculator find $tan(1110^{\circ})$ --- BISE Sargodha(2015), BISE Gujrawala(2017)$sin(180^{\circ}+\a… anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:47:44 +0000 https://www.mathcity.org/fsc-part1-ptb/important-questions/ch11-trigonometric-functions-and-their-graphs Ch 11: Trigonometric Functions and Their Graphs * Find the period of $\sin 4x$ --- BISE Gujrawala(2015) * Find the period of $\tan 4x$ --- BISE Gujrawala(2017) * Find the period of $\sin\frac{x}{5}$ --- BISE Sargodha(2015), BISE Sargodha(2016) * Find the period of $cosec10x$ --- BISE Sargodha(2015)$\cot\frac{x}{2}$$\sin x$$2\pi$ anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:47:44 +0000 https://www.mathcity.org/fsc-part1-ptb/important-questions/ch14-solutions-of-trigonometric-equation Ch 14: Solutions of Trigonometric Equation * Solve $cose^2\theta=\frac{4}{3}$ in $[0,2\pi]$--- BISE Gujrawala(2015), BISE Sargodha(2016), BISE Gujrawala(2017) * Solve $sinx=\frac{1}{2}$ in $[0,2\pi]$--- BISE Gujrawala(2015) * Solve $cot\theta = \frac{1}{\sqrt{3}}$, $\theta \in [0,2\pi]$--- BISE Gujrawala(2017), BISE Sargodha(2016) * Solve $sec^2\theta=\frac{4}{3}$ in $[0,2\pi]$--- BISE Sargodha(2015)$4cos^2x-3=0$$x \in [0,2\pi]$$secx=-2$$x \in [0,2\pi]$$cosec\theta=2$$[0,2\pi]$$tanx=-1… anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:47:46 +0000 https://www.mathcity.org/fsc-part1-ptb/mcq-bank/ch01 MCQs: Ch 01 Number Systems High quality MCQs of Chapter 01 Number System of Text Book of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Text Book Board, Lahore. The answers are given at the end of the page. MCQs * If $*$$A$$a, b \in A$$a+b \in A$$a-b \in A$$a \times b \in A$$a * b \in A$$z=(1,3)$$z^{-1}= $$(\displaystyle{\frac{1}{10}},\displaystyle{\frac{3}{10}})$$(-\displaystyle{\frac{1}{10}},\displaystyle{\frac{3}{10}})$$(\displaystyle{\frac{1}{10}},-\display… anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:47:49 +0000